Optical photographing system, image capturing apparatus and electronic device

ABSTRACT

An optical photographing system includes, in order from an object side to an image side, a first lens element, a second lens element, a third lens element, a fourth lens element, a fifth lens element and a sixth lens element. The first lens element has an image-side surface being convex in a paraxial region thereof. The third lens element has positive refractive power. The fourth lens element has an object-side surface being concave in a paraxial region thereof. The fifth lens element with positive refractive power has two surfaces being both aspheric. The sixth lens element has an image-side surface being concave in a paraxial region thereof, wherein the surfaces of the sixth lens element are both aspheric, and the image-side surface of the sixth lens element includes at least one convex shape in an off-axial region thereof.

RELATED APPLICATIONS

The present application is a Divisional Application of the applicationSer. No. 15/420,951, filed Jan. 31, 2017 which claims priority to TaiwanApplication Serial Number 105132210, filed Oct. 5, 2016, which is hereinincorporated by reference.

BACKGROUND Technical Field

The present disclosure relates to an optical photographing system and animage capturing apparatus. More particularly, the present disclosurerelates to an optical photographing system and an image capturingapparatus with a compact size applicable to electronic devices.

Description of Related Art

With the constant growing applications of photographing modules,utilizing photographing modules in various smart electronic devices,portables, smart car systems, recognition devices, entertainmentsystems, sporting devices and smart home systems is becoming a majortrend in developments for future technology. Moreover, in order toobtain more applicable functions, smart devices with one, two or morethan three lens assemblies are becoming the market mainstream, andvarious lens systems with different features are developed in responseto different demands.

Compact lens assemblies utilized by the conventional electronic deviceshave insufficient fields of view, so that the available applications arelimited; furthermore, conventional wide-angle lens assemblies usuallyadopt multi-element lens configuration of spherical glass lens elements,with the size of the lens assemblies being too large and the price beingtoo high to apply to various devices and products. Thus, theconventional photographing systems can no longer keep up with the trendin developments for future technology.

SUMMARY

According to one aspect of the present disclosure, an opticalphotographing system includes, in order from an object side to an imageside, a first lens element, a second lens element, a third lens element,a fourth lens element, a fifth lens element and a sixth lens element.The first lens element has an image-side surface being convex in aparaxial region thereof. The third lens element has positive refractivepower. The fourth lens element has an object-side surface being concavein a paraxial region thereof. The fifth lens element with positiverefractive power has an object-side surface and an image-side surfacebeing both aspheric. The sixth lens element has an image-side surfacebeing concave in a paraxial region thereof, wherein an object-sidesurface and the image-side surface of the sixth lens element are bothaspheric, and the image-side surface of the sixth lens element includesat least one convex shape in an off-axial region thereof. The opticalphotographing system has a total of six lens elements. When a focallength of the second lens element is f2, a focal length of the thirdlens element is f3, a curvature radius of an object-side surface of thefirst lens element is R1, a curvature radius of the image-side surfaceof the first lens element is R2, a curvature radius of the object-sidesurface of the fourth lens element is R7, a curvature radius of animage-side surface of the fourth lens element is R8, a curvature radiusof the object-side surface of the fifth lens element is R9, a curvatureradius of the image-side surface of the fifth lens element is R10, acurvature radius of the object-side surface of the sixth lens element isR11, and a curvature radius of the image-side surface of the sixth lenselement is R12, the following conditions are satisfied:

|f3/f2|<1.0;

|R2/R1|<3.0;

−1.45<(R7−R8)/(R7+R8)<0;

−5.0<(R9+R10)/(R9−R10)<3.0; and

0<(R11−R12)/(R11+R12)<2.0.

According to another aspect of the present disclosure, an imagecapturing apparatus includes the optical photographing system of theaforementioned aspect and an image sensor, wherein the image sensor isdisposed on an image surface of the optical photographing system.

According to another aspect of the present disclosure, an electronicdevice includes the image capturing device of the aforementioned aspect.

According to another aspect of the present disclosure, an opticalphotographing system includes, in order from an object side to an imageside, a first lens element, a second lens element, a third lens element,a fourth lens element, a fifth lens element and a sixth lens element.The first lens element with positive refractive power has an image-sidesurface being convex in a paraxial region thereof. The second lenselement has an image-side surface being concave in a paraxial regionthereof. The third lens element has positive refractive power. Thefourth lens element has an object-side surface being concave in aparaxial region thereof. The fifth lens element with positive refractivepower has an object-side surface and an image-side surface being bothaspheric. The sixth lens element has an image-side surface being concavein a paraxial region thereof, wherein an object-side surface and theimage-side surface of the sixth lens element are both aspheric, and theimage-side surface of the sixth lens element includes at least oneconvex shape in an off-axial region thereof. The optical photographingsystem has a total of six lens elements. When a focal length of theoptical photographing system is f, a focal length of the first lenselement is f1, a focal length of the second lens element is f2, a focallength of the third lens element is f3, a curvature radius of anobject-side surface of the first lens element is R1, a curvature radiusof the image-side surface of the first lens element is R2, and acurvature radius of the object-side surface of the fourth lens elementis R7, the following conditions are satisfied:

|f3/f2|<0.80;

|R2/R1|<1.0;

|f3/f1|<0.80; and

−1.30<R7/f<0.

According to another aspect of the present disclosure, an opticalphotographing system includes, in order from an object side to an imageside, a first lens element, a second lens element, a third lens element,a fourth lens element, a fifth lens element and a sixth lens element.The first lens element has an object-side surface being concave in aparaxial region thereof. The second lens element has an image-sidesurface being concave in a paraxial region thereof. The third lenselement has positive refractive power. The fourth lens element has anobject-side surface being concave in a paraxial region thereof. Thefifth lens element with positive refractive power has an object-sidesurface and an image-side surface being both aspheric. The sixth lenselement has an image-side surface being concave in a paraxial regionthereof, wherein an object-side surface and the image-side surface ofthe sixth lens element are both aspheric, and the image-side surface ofthe sixth lens element includes at least one convex shape in anoff-axial region thereof. The optical photographing system has a totalof six lens elements. When a focal length of the second lens element isf2, a focal length of the third lens element is f3, a curvature radiusof the object-side surface of the fourth lens element is R7, and acurvature radius of an image-side surface of the fourth lens element isR8, the following conditions are satisfied:

|f3/f2|<1.0; and

−1.45<(R7−R8)/(R7+R8)<0.

BRIEF DESCRIPTION OF THE DRAWINGS

The present disclosure can be more fully understood by reading thefollowing detailed description of the embodiment, with reference made tothe accompanying drawings as follows:

FIG. 1 is a schematic view of an image capturing apparatus according tothe 1st embodiment of the present disclosure;

FIG. 2 shows spherical aberration curves, astigmatic field curves and adistortion curve of the image capturing apparatus according to the 1stembodiment;

FIG. 3 is a schematic view of an image capturing apparatus according tothe 2nd embodiment of the present disclosure;

FIG. 4 shows spherical aberration curves, astigmatic field curves and adistortion curve of the image capturing apparatus according to the 2ndembodiment;

FIG. 5 is a schematic view of an image capturing apparatus according tothe 3rd embodiment of the present disclosure;

FIG. 6 shows spherical aberration curves, astigmatic field curves and adistortion curve of the image capturing apparatus according to the 3rdembodiment;

FIG. 7 is a schematic view of an image capturing apparatus according tothe 4th embodiment of the present disclosure;

FIG. 8 shows spherical aberration curves, astigmatic field curves and adistortion curve of the image capturing apparatus according to the 4thembodiment;

FIG. 9 is a schematic view of an image capturing apparatus according tothe 5th embodiment of the present disclosure;

FIG. 10 shows spherical aberration curves, astigmatic field curves and adistortion curve of the image capturing apparatus according to the 5thembodiment;

FIG. 11 is a schematic view of an image capturing apparatus according tothe 6th embodiment of the present disclosure;

FIG. 12 shows spherical aberration curves, astigmatic field curves and adistortion curve of the image capturing apparatus according to the 6thembodiment;

FIG. 13 is a schematic view of an image capturing apparatus according tothe 7th embodiment of the present disclosure;

FIG. 14 shows spherical aberration curves, astigmatic field curves and adistortion curve of the image capturing apparatus according to the 7thembodiment;

FIG. 15 is a schematic view of an image capturing apparatus according tothe 8th embodiment of the present disclosure;

FIG. 16 shows spherical aberration curves, astigmatic field curves and adistortion curve of the image capturing apparatus according to the 8thembodiment;

FIG. 17 is a schematic view of an image capturing apparatus according tothe 9th embodiment of the present disclosure;

FIG. 18 shows spherical aberration curves, astigmatic field curves and adistortion curve of the image capturing apparatus according to the 9thembodiment;

FIG. 19 is a schematic view of an image capturing apparatus according tothe 10th embodiment of the present disclosure;

FIG. 20 shows spherical aberration curves, astigmatic field curves and adistortion curve of the image capturing apparatus according to the 10thembodiment;

FIG. 21 is a schematic view of a parameter SAG11 according to the 1stembodiment of FIG. 1;

FIG. 22 is a schematic view of an electronic device according to the11th embodiment of the present disclosure;

FIG. 23 is a schematic view of an electronic device according to the12th embodiment of the present disclosure; and

FIG. 24 is a schematic view of an electronic device according to the13th embodiment of the present disclosure.

DETAILED DESCRIPTION

An optical photographing system includes, in order from an object sideto an image side, a first lens element, a second lens element, a thirdlens element, a fourth lens element, a fifth lens element and a sixthlens element. The optical photographing system has a total of six lenselements.

The first lens element can have positive refractive power, so that theexcessive distortion can be avoided by balancing the focusing ability ofthe optical photographing system. The first lens element can have anobject-side surface being concave in a paraxial region thereof, so thatthe spherical aberration can be balanced for avoiding the overcorrectionthereof; and the first lens element can have an image-side surface beingconvex in a paraxial region thereof, so that the light convergingability of the first lens element can be enhanced for obtainingsufficient miniaturizing ability. Furthermore, the object-side surfaceof the first lens element includes at least one convex shape in anoff-axial region thereof, so that it is favorable for reducing the totaltrack length of the optical photographing system and correctingoff-axial aberrations.

The second lens element can have an object-side surface being convex ina paraxial region thereof and an image-side surface being concave in aparaxial region thereof. Therefore, it is favorable for retrieving lightwith a large field of view and enhancing the astigmatism corrections inthe optical photographing system.

The third lens element has positive refractive power, so that the mainlight converging ability of the optical photographing system can beprovided for enlarging the field of view and maintaining the compactsize. The third lens element can have an image-side surface being convexin a paraxial region thereof, so that the focusing ability thereof canbe enhanced which is favorable for forming the symmetrical structure soas to correct the coma aberration.

The fourth lens element can have negative refractive power, so that thepositive refractive power of the third lens element can be balanced andthe chromatic aberration can be corrected so as to match the focalplanes of different wavelengths. The fourth lens element has anobject-side surface being concave in a paraxial region thereof, so thatthe incident angle of the fourth lens element can be smaller foravoiding stray light.

The fifth lens element has positive refractive power, so that it isfavorable for forming the retrofocus structure so as to provide asufficient imaging area. The fifth lens element can have an image-sidesurface being convex in a paraxial region thereof, so that thedistribution of the refractive power of the optical photographing systemcan be balanced so as to enhance the image quality.

The sixth lens element can have negative refractive power, so that theprincipal point can be positioned closer to the object side for reducingthe back focal length and the total track length. The sixth lens elementcan have an object-side surface being convex in a paraxial regionthereof, so that the distribution of the refractive power of the sixthlens element can be moderated so as to enhance the ability of the sixthlens element for correcting field curvature; the sixth lens element hasan image-side surface being concave in a paraxial region thereof, sothat the back focal length can be reduced for maintaining compact size.Furthermore, the image-side surface of the sixth lens element includesat least one convex shape in an off-axial region thereof, so thatoff-axial aberrations can be corrected effectively so as to provide goodimage quality at the off-axial field.

When a focal length of the second lens element is f2, and a focal lengthof the third lens element is f3, the following condition is satisfied:|f3/f2|<1.0. Therefore, the refractive power of the second lens elementand the third lens element can be distributed properly, so that thetotal track length of the optical photographing system can be controlledand the field of view can be enlarged. Preferably, the followingcondition can be satisfied: |f3/f2|<0.80. More preferably, the followingcondition can be satisfied: |f3/f2|<0.50.

When a curvature radius of the object-side surface of the first lenselement is R1, and a curvature radius of the image-side surface of thefirst lens element is R2, the following condition is satisfied:|R2/R1|<3.0. Therefore, it is favorable for obtaining the large field ofview and the compact structure characteristic. Preferably, the followingcondition can be satisfied: |R2/R1|<1.0.

When a curvature radius of the object-side surface of the fourth lenselement is R7, and a curvature radius of an image-side surface of thefourth lens element is R8, the following condition is satisfied:−1.45<(R7−R8)/(R7+R8)<0. Therefore, it is favorable for controlling thesurface shape of the fourth lens element effectively so as to balancethe optical photographing system and correct the lateral chromaticaberration.

When a curvature radius of the object-side surface of the fifth lenselement is R9, and a curvature radius of the image-side surface of thefifth lens element is R10, the following condition is satisfied:−5.0<(R9+R10)/(R9−R10)<3.0. Therefore, it is favorable for forming theretrofocus structure and balancing the optical photographing system bythe fifth lens element with sufficient control ability. Preferably, thefollowing condition can be satisfied: −1.0<(R9+R10)/(R9−R10)<2.0.

When a curvature radius of the object-side surface of the sixth lenselement is R11, and a curvature radius of the image-side surface of thesixth lens element is R12, the following condition is satisfied:0<(R11−R12)/(R11+R12)<2.0. Therefore, the shape of the sixth lenselement can be controlled so as to correct off-axial aberrations.

When the focal length of the third lens element is f3, and a focallength of the first lens element is f1, the following condition issatisfied: |f3/f1|<0.80. Therefore, the distribution of the refractivepower of the midsection of the optical photographing system can bestrengthened so as to balance between the field of view and the size ofthe optical photographing system.

When the curvature radius of the object-side surface of the fourth lenselement is R7, and a focal length of the optical photographing system isf, the following condition is satisfied: −1.30<R7/f<0. Therefore, theprincipal point can be placed at a balanced position, and the Petzvalfield would not be overly curved due to overcorrection from theexcessive back focal length.

When an Abbe number of the second lens element is V2, an Abbe number ofthe third lens element is V3, and an Abbe number of the fourth lenselement is V4, the following condition is satisfied:0.20<(V2+V4)/V3<1.0. Therefore, it is favorable for matching andadjusting all of the lens elements so as to adapt a preferable balancewith chromatic aberration.

When a curvature radius of the image-side surface of the first lenselement is R2, and a maximum image height of the optical photographingsystem is ImgH, the following condition is satisfied: −1.50<R2/ImgH<0.Therefore, it is favorable for balancing the curvature of the image-sidesurface of the first lens element and the image height so as to reduceimage distortion.

When the focal length of the optical photographing system is f, and anentrance pupil diameter of the optical photographing system is EPD, thefollowing condition is satisfied: 1.0<f/EPD<2.20. Therefore, a largeaperture can be obtained so as to increase light coverage on the lenselements from different fields of view, and further improve light entryinto the optical photographing system as well as image brightnesseffectively.

When a half of a maximum field of view of the optical photographingsystem is HFOV, the following condition is satisfied:0.95<tan(HFOV)<2.5. Therefore, it is favorable for enlarging the angleof view so as to increase the applicable range.

When a refractive power of the first lens element is P1, a refractivepower of the second lens element is P2, a refractive power of the thirdlens element is P3, and a refractive power of the fourth lens element isP4, the following condition is satisfied: (|P1|+|P2|)/(|P3|+|P4|)<0.30.Therefore, it is favorable for enhancing the aberration correction inoff-axial region on the object side and strengthening the controlability of the third lens element and the fourth lens element so as toimprove image quality.

When a central thickness of the second lens element is CT2, and acentral thickness of the third lens element is CT3, the followingcondition is satisfied: 1.90<CT3/CT2<5.0. Therefore, it is favorable forenhancing the structure strength of midsection of the opticalphotographing system so as to increase stability while reducing thesensitivity thereof.

When a maximum image height of the optical photographing system is ImgH,and the focal length of the optical photographing system is f, thefollowing condition is satisfied: 0.90<ImgH/f<1.50. Therefore, it isfavorable for reducing the focal length and obtaining the sufficientlight absorbing area so as to reduce axial aberrations while increasingthe image illumination.

When the focal length of the optical photographing system is f, and anaxial distance between the object-side surface of the first lens elementand an image surface is TL, the following condition is satisfied:0.45<f/TL<0.70. Therefore, it is favorable for reducing the focal lengthof the optical photographing system and increasing the image capturingrange.

When a curvature radius of an image-side surface of the third lenselement is R6, and the curvature radius of the object-side surface ofthe fourth lens element is R7, the following condition is satisfied:−0.37<(R6−R7)/(R6+R7)<0.45. Therefore, it is favorable for controllingthe air space between the third lens element and the fourth lens elementso as to balance aberrations of the optical photographing system.

When a focal length of the fifth lens element is f5, and a focal lengthof the sixth lens element is f6, the following condition is satisfied:0.70<|f5/f6|<1.0. Therefore, the distribution of the refractive power ofthe fifth lens element and the sixth lens element can be controlled soas to balance the field of view and the back focal length.

When the focal length of the optical photographing system is f, and thehalf of a maximum field of view of the optical photographing system isHFOV, the following condition is satisfied: 1.50 mm<f/tan(HFOV)<3.0 mm.Therefore, the characteristics of compactness and wide-angle of theoptical photographing system can be obtained so as to satisfy the widerrange of utilization.

When a maximum effective radius of the object-side surface of the firstlens element is Y11, and a maximum effective radius of an object-sidesurface of the third lens element is Y31, the following condition issatisfied: Y31/Y11<1.10. Therefore, it is favorable for enhancing thesymmetry of the optical photographing system by balancing the sizes ofthe lens elements.

When an axial distance between the third lens element and the fourthlens element is T34, and an axial distance between the fourth lenselement and the fifth lens element is T45, the following condition issatisfied: 0<T45/T34<2.0. Therefore, the space distribution of theoptical photographing system can be controlled effectively which isfavorable for abutting and connecting the lens elements so as toincrease the yield rate of products.

When a central thickness of the first lens element is CT1, a centralthickness of the second lens element is CT2, a central thickness of thethird lens element is CT3, a central thickness of the fourth lenselement is CT4, and a central thickness of the fifth lens element isCT5, the following condition is satisfied: (CT1+CT2+CT4)/(CT3+CT5)<0.80.Therefore, the demands of the structure strength and the distribution ofthe refractive power of the lens elements can be balanced so as toincrease the efficiency of the space usage.

When the axial distance between the object-side surface of the firstlens element and the image surface is TL, the following condition issatisfied: 3.0 mm<TL<7.0 mm. Therefore, it is favorable for obtainingthe compactness of the optical photographing system for applications invarious devices.

The optical photographing system can further include an aperture stop.When an axial distance between the aperture stop and the image-sidesurface of the sixth lens element is SD, and an axial distance betweenthe object-side surface of the first lens element and the image-sidesurface of the sixth lens element is TD, the following condition issatisfied: 0.70<SD/TD<0.93. Therefore, it is favorable for balancing thelocation of the aperture stop so as to obtain a wider image capturingrange and maintain the compact characteristic.

When a curvature radius of an object-side surface of the second lenselement is R3, and a curvature radius of the image-side surface of thesecond lens element is R4, the following condition is satisfied:−0.20<(R3−R4)/(R3+R4)<0.20. Therefore, the light of tangential andsagittal planes can converge favorably so as to enhance image quality.

When a displacement in parallel with an optical axis from an axialvertex on the object-side surface of the first lens element to a maximumeffective radius position on the object-side surface of the first lenselement is SAG11, and the maximum effective radius of the object-sidesurface of the first lens element is Y11, the following condition issatisfied: |SAG11/Y11|<0.20. Therefore, it is favorable for enlargingthe field of view and controlling the position of the image point so asto avoid excessive distortion and increase image illumination in theoff-axial region.

When the curvature radius of the object-side surface of the fourth lenselement is R7, and the maximum image height of the optical photographingsystem is ImgH, the following condition is satisfied: −1.0<R7/ImgH<0.Therefore, it is favorable for balancing the curvature of theobject-side surface of the fourth lens element and the image height soas to enhance image quality.

When a maximum effective radius of the object-side surface of the secondlens element is Y21, and the maximum effective radius of an object-sidesurface of the third lens element is Y31, the following condition issatisfied: Y31/Y21<1.0. Therefore, it is favorable for controlling thelocation of the aperture stop effectively so as to obtain a sufficientfield of view.

Each of the aforementioned features of the optical photographing systemcan be utilized in numerous combinations, so as to achieve thecorresponding effects.

According to the optical photographing system of the present disclosure,the lens elements thereof can be made of glass or plastic materials.When the lens elements are made of glass materials, the distribution ofthe refractive power of the optical photographing system may be moreflexible to design. When the lens elements are made of plasticmaterials, manufacturing costs can be effectively reduced. Furthermore,surfaces of each lens element can be arranged to be aspheric, since theaspheric surface of the lens element is easy to form a shape other thana spherical surface so as to have more controllable variables foreliminating aberrations thereof, and to further decrease the requiredamount of lens elements in the optical photographing system. Therefore,the total track length of the optical photographing system can also bereduced.

According to the optical photographing system of the present disclosure,each of an object-side surface and an image-side surface has a paraxialregion and an off-axial region. The paraxial region refers to the regionof the surface where light rays travel dose to an optical axis, and theoff-axial region refers to the region of the surface away from theparaxial region. Particularly unless otherwise stated, when the lenselement has a convex surface, it indicates that the surface can beconvex in the paraxial region thereof; when the lens element has aconcave surface, it indicates that the surface can be concave in theparaxial region thereof. According to the optical photographing systemof the present disclosure, the refractive power or the focal length of alens element being positive or negative may refer to the refractivepower or the focal length in a paraxial region of the lens element.

According to the optical photographing system of the present disclosure,the optical photographing system can include at least one stop, such asan aperture stop, a glare stop or a field stop. Said glare stop or saidfield stop is for eliminating the stray light and thereby improving theimage resolution thereof.

According to the optical photographing system of the present disclosure,the image surface of the optical photographing system, based on thecorresponding image sensor, can be flat or curved. In particular, theimage surface can be a concave curved surface facing towards the objectside.

According to the optical photographing system of the present disclosure,an aperture stop can be configured as a middle stop, wherein a middlestop disposed between the first lens element and the image surface isfavorable for enlarging the field of view of the optical photographingsystem and thereby provides a wider field of view for the same.

According to the optical photographing system of the present disclosure,the optical photographing system can be applied to 3D(three-dimensional) image capturing applications, in products such asdigital cameras, mobile devices, digital tablets, smart TVs,surveillance systems, motion sensing input devices, driving recordingsystems, rearview camera systems, and wearable devices.

According to the present disclosure, an image capturing apparatus isprovided. The image capturing apparatus includes the aforementionedoptical photographing system and an image sensor, wherein the imagesensor is disposed on the image side of the aforementioned opticalphotographing system, that is, the image sensor can be disposed on ornear the image surface of the aforementioned optical photographingsystem. By arranging the third lens element with positive refractivepower, the main light converging ability of the optical photographingsystem can be provided for enlarging field of view and maintaining itscompact size, and arranging the fifth lens element with positiverefractive power provides the retrofocus structure with a sufficientimage capturing range. Furthermore, by arranging the shapes of theobject-side surface of the fourth lens element and the image-sidesurface of the sixth lens element, the stray light can be avoided andthe back focal length can be reduced while correcting off-axialaberrations. Preferably, the image capturing apparatus can furtherinclude a barrel member, a holder member or a combination thereof.

According to the present disclosure, an electronic device is provided,which includes the aforementioned image capturing apparatus. Preferably,the electronic device can further include but not limited to a controlunit, a display, a storage unit, a random access memory unit (RAM) or acombination thereof.

According to the above description of the present disclosure, thefollowing 1st-13th specific embodiments are provided for furtherexplanation.

1st Embodiment

FIG. 1 is a schematic view of an image capturing apparatus according tothe 1st embodiment of the present disclosure. FIG. 2 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theimage capturing apparatus according to the 1st embodiment. In FIG. 1,the image capturing apparatus includes an optical photographing system(Its reference numeral is omitted) and an image sensor 190. The opticalphotographing system includes, in order from an object side to an imageside, a first lens element 110, a second lens element 120, an aperturestop 100, a third lens element 130, a fourth lens element 140, a fifthlens element 150, a sixth lens element 160, an IR-cut filter 170 and animage surface 180, wherein the image sensor 190 is disposed on the imagesurface 180 of the optical photographing system. The opticalphotographing system has a total of six lens elements (110-160).

The first lens element 110 with positive refractive power has anobject-side surface 111 being concave in a paraxial region thereof andan image-side surface 112 being convex in a paraxial region thereof. Thefirst lens element 110 is made of a plastic material, and has theobject-side surface 111 and the image-side surface 112 being bothaspheric. Furthermore, the object-side surface 111 of the first lenselement 110 includes at least one convex shape in an off-axial regionthereof.

The second lens element 120 with negative refractive power has anobject-side surface 121 being convex in a paraxial region thereof and animage-side surface 122 being concave in a paraxial region thereof. Thesecond lens element 120 is made of a plastic material, and has theobject-side surface 121 and the image-side surface 122 being bothaspheric.

The third lens element 130 with positive refractive power has anobject-side surface 131 being convex in a paraxial region thereof and animage-side surface 132 being convex in a paraxial region thereof. Thethird lens element 130 is made of a plastic material, and has theobject-side surface 131 and the image-side surface 132 being bothaspheric.

The fourth lens element 140 with negative refractive power has anobject-side surface 141 being concave in a paraxial region thereof andan image-side surface 142 being convex in a paraxial region thereof. Thefourth lens element 140 is made of a plastic material, and has theobject-side surface 141 and the image-side surface 142 being bothaspheric.

The fifth lens element 150 with positive refractive power has anobject-side surface 151 being concave in a paraxial region thereof andan image-side surface 152 being convex in a paraxial region thereof. Thefifth lens element 150 is made of a plastic material, and has theobject-side surface 151 and the image-side surface 152 being bothaspheric.

The sixth lens element 160 with negative refractive power has anobject-side surface 161 being convex in a paraxial region thereof and animage-side surface 162 being concave in a paraxial region thereof. Thesixth lens element 160 is made of a plastic material, and has theobject-side surface 161 and the image-side surface 162 being bothaspheric. Furthermore, the image-side surface 162 of the sixth lenselement 160 includes at least one convex shape in an off-axial regionthereof.

The IR-cut filter 170 is made of a glass material and located betweenthe sixth lens element 160 and the image surface 180, and will notaffect the focal length of the optical photographing system.

The equation of the aspheric surface profiles of the aforementioned lenselements of the 1st embodiment is expressed as follows:

${{X(Y)} = {{( {Y^{2}/R} )/( {1 + {{sqrt}( {1 - {( {1 + k} ) \times ( {Y/R} )^{2}}} )}} )} + {\sum\limits_{i}{({Ai}) \times ( Y^{i} )}}}},$

where,X is the relative distance between a point on the aspheric surfacespaced at a distance Y from the optical axis and the tangential plane atthe aspheric surface vertex on the optical axis;

Y is the vertical distance from the point on the aspheric surface to theoptical axis;

R is the curvature radius;

k is the conic coefficient; and

A is the i-th aspheric coefficient.

In the optical photographing system according to the 1st embodiment,when a focal length of the optical photographing system is f, anf-number of the optical photographing system is Fno, and half of amaximum field of view of the optical photographing system is HFOV, theseparameters have the following values: f=2.73 mm; Fno=1.75; and HFOV=49.0degrees.

In the optical photographing system according to the 1st embodiment,when an Abbe number of the second lens element 120 is V2, an Abbe numberof the third lens element 130 is V3, and an Abbe number of the fourthlens element 140 is V4, the following condition is satisfied:(V2+V4)/V3=0.87.

In the optical photographing system according to the 1st embodiment,when an axial distance between the third lens element 130 and the fourthlens element 140 is T34, and an axial distance between the fourth lenselement 140 and the fifth lens element 150 is T45, the followingcondition is satisfied: T45/T34=1.31.

In the optical photographing system according to the 1st embodiment,when a central thickness of the first lens element 110 is CT1, a centralthickness of the second lens element 120 is CT2, a central thickness ofthe third lens element 130 is CT3, a central thickness of the fourthlens element 140 is CT4, and a central thickness of the fifth lenselement 150 is CT5, the following conditions are satisfied:CT3/CT2=2.57; and (CT1+CT2+CT4)/(CT3+CT5)=0.58.

In the optical photographing system according to the 1st embodiment,when a curvature radius of the object-side surface 141 of the fourthlens element 140 is R7, the focal length of the optical photographingsystem is f, the following condition is satisfied: R7/f=−0.86.

In the optical photographing system according to the 1st embodiment,when a curvature radius of the object-side surface 111 of the first lenselement 110 is R1, and a curvature radius of the image-side surface 112of the first lens element 110 is R2, the following condition issatisfied: |R2/R1|=0.77.

In the optical photographing system according to the 1st embodiment,when a curvature radius of the object-side surface 121 of the secondlens element 120 is R3, and a curvature radius of the image-side surface122 of the second lens element 120 is R4, the following condition issatisfied: (R3−R4)/(R3+R4)=0.06.

In the optical photographing system according to the 1st embodiment,when a curvature radius of the image-side surface 132 of the third lenselement 130 is R6, and the curvature radius of the object-side surface141 of the fourth lens element 140 is R7, the following condition issatisfied: (R6−R7)/(R6+R7)=−0.12.

In the optical photographing system according to the 1st embodiment,when the curvature radius of the object-side surface 141 of the fourthlens element 140 is R7, and a curvature radius of the image-side surface142 of the fourth lens element 140 is R8, the following condition issatisfied: (R7−R8)/(R7+R8)=−0.68.

In the optical photographing system according to the 1st embodiment,when a curvature radius of the object-side surface 151 of the fifth lenselement 150 is R9, and a curvature radius of the image-side surface 152of the fifth lens element 150 is R10, the following condition issatisfied: (R9+R10)/(R9−R10)=1.45.

In the optical photographing system according to the 1st embodiment,when a curvature radius of the object-side surface 161 of the sixth lenselement 160 is R11, and a curvature radius of the image-side surface 162of the sixth lens element 160 is R12, the following condition issatisfied: (R11−R12)/(R11+R12)=0.66.

In the optical photographing system according to the 1st embodiment,when a focal length of the first lens element 110 is f1, a focal lengthof the second lens element 120 is f2, a focal length of the third lenselement 130 is f3, a focal length of the fifth lens element 150 is f5,and a focal length of the sixth lens element 160 is f6, the followingconditions are satisfied: |f3/f1|=0.19; |f3/f2|=0.05; and |f5/f6|=0.88.

In the optical photographing system according to the 1st embodiment,when a refractive power of the first lens element 110 is P1 (which isf/f1, a ratio value of the focal length of the optical photographingsystem f and the focal length of the first lens element f1), arefractive power of the second lens element 120 is P2 (which is f/f2, aratio value of the focal length of the optical photographing system fand the focal length of the second lens element f2), a refractive powerof the third lens element 130 is P3 (which is f/f3, a ratio value of thefocal length of the optical photographing system f and the focal lengthof the third lens element f3), and a refractive power of the fourth lenselement is P4 (which is f/f4, a ratio value of the focal length of theoptical photographing system f and the focal length of the fourth lenselement f4), the following condition is satisfied:(|P1|+|P2|)/(|P3|+|P4|)=0.14.

In the optical photographing system according to the 1st embodiment,when a maximum effective radius of the object-side surface 111 of thefirst lens element 110 is Y11, a maximum effective radius of theobject-side surface 121 of the second lens element 120 is Y21, and amaximum effective radius of the object-side surface 131 of the thirdlens element 130 is Y31, the following conditions are satisfied:Y31/Y11=0.53; and Y31/Y21=0.83.

In the optical photographing system according to the 1st embodiment,when an axial distance between the aperture stop 100 and the image-sidesurface 162 of the sixth lens element 160 is SD, and an axial distancebetween the object-side surface 111 of the first lens element 110 andthe image-side surface 162 of the sixth lens element 160 is TD, thefollowing condition is satisfied: SD/TD=0.78.

In the optical photographing system according to the 1st embodiment,when the curvature radius of the image-side surface 112 of the firstlens element 110 is R2, the curvature radius of the object-side surface141 of the fourth lens element 140 is R7, and a maximum image height ofthe optical photographing system is ImgH (half of a diagonal length ofan effective photosensitive area of the image sensor 190), the followingconditions are satisfied: R2/ImgH=−0.72; and R7/ImgH=−0.74.

In the optical photographing system according to the 1st embodiment,when the maximum image height of the optical photographing system isImgH, and the focal length of the optical photographing system is f, thefollowing condition is satisfied: ImgH/f=1.16.

In the optical photographing system according to the 1st embodiment,when the focal length of the optical photographing system is f, and anaxial distance between the object-side surface 111 of the first lenselement 110 and the image surface 180 is TL, the following conditionsare satisfied: f/TL=0.52; and TL=5.25 mm.

In the optical photographing system according to the 1st embodiment,when the focal length of the optical photographing system is f, and anentrance pupil diameter of the optical photographing system is EPD, thefollowing condition is satisfied: f/EPD=1.75.

In the optical photographing system according to the 1st embodiment,when the focal length of the optical photographing system is f, and halfof a maximum field of view of the optical photographing system is HFOV,the following conditions are satisfied: f/tan(HFOV)=2.38 mm; andtan(HFOV)=1.15.

FIG. 21 is a schematic view of a parameter SAG11 according to the 1stembodiment of FIG. 1. In FIG. 21, a displacement in parallel with anoptical axis from an axial vertex on the object-side surface 111 of thefirst lens element 110 to a maximum effective radius position on theobject-side surface 111 of the first lens element 110 is SAG11 (when thedisplacement begins from one point projecting towards the image side,SAG11 is positive; when the displacement projects towards the objectside, SAG11 is negative), and the maximum effective radius of theobject-side surface 111 of the first lens element 110 is Y11, thefollowing condition is satisfied: |SAG11/Y11|=0.09.

The detailed optical data of the 1st embodiment are shown in Table 1 andthe aspheric surface data are shown in Table 2 below.

TABLE 1 1st Embodiment f = 2.73 mm, Fno = 1.75, HFOV = 49.0 deg. FocalSurface # Curvature Radius Thickness Material Index Abbe # Length 0Object Plano Infinity 1 Lens 1 −2.954 ASP 0.343 Plastic 1.545 56.0 15.472 −2.277 ASP 0.030 3 Lens 2 1.620 ASP 0.286 Plastic 1.584 28.2 −59.85 41.448 ASP 0.248 5 Ape. Stop Plano 0.093 6 Lens 3 9.061 ASP 0.735 Plastic1.544 55.9 2.90 7 −1.854 ASP 0.249 8 Lens 4 −2.344 ASP 0.280 Plastic1.660 20.4 −4.45 9 −12.197 ASP 0.325 10 Lens 5 −4.568 ASP 0.837 Plastic1.544 55.9 1.75 11 −0.838 ASP 0.030 12 Lens 6 3.915 ASP 0.680 Plastic1.544 55.9 −2.00 13 0.798 ASP 0.700 14 IR-cut filter Plano 0.210 Glass1.517 64.2 — 15 Plano 0.202 16 Image Plano — Reference wavelength is587.6 nm (d-line).

TABLE 2 Aspheric Coefficients Surface # 1 2 3 4 6 7 k= −2.7773E+01−5.1205E+01 −1.3031E+00 −3.6610E+00 4.3226E+01 −6.4021E−01 A4= 1.1654E−01  9.4912E−02  9.9764E−02 −1.8903E−01 −3.6408E−02  −1.1232E−01A6= −8.3571E−02 −7.7272E−02 −7.1587E−01  9.0413E−01 4.3194E−02−2.7144E−01 A8=  5.7100E−02  8.2441E−02  1.5791E+00 −3.1956E+00−3.6047E−01   1.1168E+00 A10= −2.3403E−02 −5.3583E−02 −2.0440E+00 7.3047E+00 9.1283E−01 −2.7321E+00 A12=  5.2354E−03  1.6955E−02 1.3601E+00 −9.3193E+00 −1.4503E+00   3.6644E+00 A14= −5.0977E−04−2.0899E−03 −3.4760E−01  5.1606E+00 8.5756E−01 −2.6098E+00 A16= 7.5698E−01 Surface # 8 9 10 11 12 13 k= 2.5402E+00  1.3303E+013.3348E+00 −3.6897E+00 −2.5219E+00 −4.5314E+00 A4= −2.9900E−01 −2.0158E−01 1.3143E−02 −2.0034E−01 −1.0076E−01 −4.8657E−02 A6=7.7957E−02  1.7418E−01 −1.6870E−02   2.2247E−01  4.2101E−02  1.7978E−02A8= 1.7990E−01 −2.1774E−01 3.1928E−02 −1.8878E−01 −1.1375E−02−4.8074E−03 A10= −6.7326E−01   2.0072E−01 −4.8341E−02   1.2229E−01 2.3476E−03  8.2551E−04 A12= 1.1892E+00 −1.1762E−01 3.2475E−02−4.6454E−02 −3.7709E−04 −8.6229E−05 A14= −7.8016E−01   5.5140E−02−9.1933E−03   9.1016E−03  3.7517E−05  4.9223E−06 A16= 1.7300E−01−1.2470E−02 9.3023E−04 −7.1520E−04 −1.5775E−06 −1.1884E−07

In Table 1, the curvature radius, the thickness and the focal length areshown in millimeters (mm). Surface numbers 0-16 represent the surfacessequentially arranged from the object side to the image side along theoptical axis. In Table 2, k represents the conic coefficient of theequation of the aspheric surface profiles. A4-A16 represent the asphericcoefficients ranging from the 4th order to the 16th order. The tablespresented below for each embodiment correspond to schematic parameterand aberration curves of each embodiment, and term definitions of thetables are the same as those in Table 1 and Table 2 of the 1stembodiment. Therefore, an explanation in this regard will not beprovided again.

2nd Embodiment

FIG. 3 is a schematic view of an image capturing apparatus according tothe 2nd embodiment of the present disclosure. FIG. 4 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theimage capturing apparatus according to the 2nd embodiment. In FIG. 3,the image capturing apparatus includes an optical photographing system(its reference numeral is omitted) and an image sensor 290. The opticalphotographing system includes, in order from an object side to an imageside, a first lens element 210, a second lens element 220, an aperturestop 200, a third lens element 230, a fourth lens element 240, a fifthlens element 250, a sixth lens element 260, an IR-cut filter 270 and animage surface 280, wherein the image sensor 290 is disposed on the imagesurface 280 of the optical photographing system. The opticalphotographing system has a total of six lens elements (210-260).

The first lens element 210 with negative refractive power has anobject-side surface 211 being concave in a paraxial region thereof andan image-side surface 212 being convex in a paraxial region thereof. Thefirst lens element 210 is made of a plastic material, and has theobject-side surface 211 and the image-side surface 212 being bothaspheric. Furthermore, the object-side surface 211 of the first lenselement 210 includes at least one convex shape in an off-axial regionthereof.

The second lens element 220 with positive refractive power has anobject-side surface 221 being convex in a paraxial region thereof and animage-side surface 222 being concave in a paraxial region thereof. Thesecond lens element 220 is made of a plastic material, and has theobject-side surface 221 and the image-side surface 222 being bothaspheric.

The third lens element 230 with positive refractive power has anobject-side surface 231 being concave in a paraxial region thereof andan image-side surface 232 being convex in a paraxial region thereof. Thethird lens element 230 is made of a plastic material, and has theobject-side surface 231 and the image-side surface 232 being bothaspheric.

The fourth lens element 240 with negative refractive power has anobject-side surface 241 being concave in a paraxial region thereof andan image-side surface 242 being convex in a paraxial region thereof. Thefourth lens element 240 is made of a plastic material, and has theobject-side surface 241 and the image-side surface 242 being bothaspheric.

The fifth lens element 250 with positive refractive power has anobject-side surface 251 being concave in a paraxial region thereof andan image-side surface 252 being convex in a paraxial region thereof. Thefifth lens element 250 is made of a plastic material, and has theobject-side surface 251 and the image-side surface 252 being bothaspheric.

The sixth lens element 260 with negative refractive power has anobject-side surface 261 being convex in a paraxial region thereof and animage-side surface 262 being concave in a paraxial region thereof. Thesixth lens element 260 is made of a plastic material, and has theobject-side surface 261 and the image-side surface 262 being bothaspheric. Furthermore, the image-side surface 262 of the sixth lenselement 260 includes at least one convex shape in an off-axial regionthereof.

The IR-cut filter 270 is made of a glass material and located betweenthe sixth lens element 260 and the image surface 280, and will notaffect the focal length of the optical photographing system.

The detailed optical data of the 2nd embodiment are shown in Table 3 andthe aspheric surface data are shown in Table 4 below.

TABLE 3 2nd Embodiment f = 2.73 mm, Fno = 1.80, HFOV = 48.1 deg. FocalSurface# Curvature Radius Thickness Material Index Abbe # Length 0Object Plano Infinity 1 Lens 1 −2.965 ASP 0.335 Plastic 1.545 56.0−85.27 2 −3.293 ASP 0.030 3 Lens 2 1.739 ASP 0.364 Plastic 1.584 28.212.57 4 2.103 ASP 0.179 5 Ape. Stop Plano 0.069 6 Lens 3 −36.832 ASP0.817 Plastic 1.544 55.9 3.05 7 −1.597 ASP 0.242 8 Lens 4 −2.484 ASP0.302 Plastic 1.660 20.4 −4.03 9 −40.059 ASP 0.248 10 Lens 5 −8.482 ASP1.172 Plastic 1.544 55.9 1.75 11 −0.899 ASP 0.038 12 Lens 6 3.193 ASP0.675 Plastic 1.544 55.9 −2.08 13 0.772 ASP 0.680 14 IR-cut filter Plano0.210 Glass 1.517 64.2 — 15 Plano 0.244 16 Image Plano — Referencewavelength is 587.6 nm (d-line).

TABLE 4 Aspheric Coefficients Surface # 1 2 3 4 6 7 k= −2.7135E+01−4.9547E+01 −1.1055E+00 −2.7397E+00 −7.7996E+01 −6.0856E−01 A4= 1.1654E−01  9.4912E−02 −7.5265E−02 −1.2872E−01 −6.8293E−02 −1.3257E−01A6= −8.3571E−02 −7.7272E−02 −7.8085E−02  3.0995E−01  2.9485E−01−7.7731E−02 A8=  5.7100E−02  8.2441E−02  2.9768E−01 −6.2521E−01−1.8574E+00  1.4341E−01 A10= −2.3403E−02 −5.3583E−02 −3.9979E−01 1.6073E+00  5.2818E+00  9.9800E−02 A12=  5.2354E−03  1.6955E−02 2.4109E−01 −2.7079E+00 −7.7505E+00 −9.0812E−01 A14= −5.0977E−04−2.0899E−03 −4.4463E−02  2.1199E+00  4.2103E+00  1.1726E+00 A16=−5.1471E−01 Surface# 8 9 10 11 12 13 k= 2.9366E+00 −6.4510E+01 4.1392E+00 −3.7243E+00 −6.5754E+00 −4.0572E+00 A4= −3.5257E−01 −2.1647E−01  4.6435E−02 −1.3119E−01 −8.7826E−02 −3.6895E−02 A6=2.1316E−01  1.5882E−01 −6.2337E−03  1.3223E−01  4.0483E−02  7.2213E−03A8= −1.5847E−01  −1.7236E−01 −8.9147E−02 −8.7036E−02 −3.4784E−02−1.1731E−03 A10= 6.8116E−02  1.3976E−01  9.7653E−02  3.0869E−02 1.9022E−02  1.6084E−04 A12= 3.4357E−01 −2.4488E−02 −4.2594E−02−4.7603E−03 −5.4488E−03 −1.9497E−05 A14= −3.5701E−01  −1.4613E−02 8.6987E−03  2.5173E−04  7.7545E−04  1.5164E−06 A16= 1.0063E−01 4.8101E−03 −6.9424E−04 −4.3033E−06 −4.3258E−05 −4.8560E−08

In the 2nd embodiment, the equation of the aspheric surface profiles ofthe aforementioned lens elements is the same as the equation of the 1stembodiment. Also, the definitions of these parameters shown in thefollowing table are the same as those stated in the 1st embodiment withcorresponding values for the 2nd embodiment, so an explanation in thisregard will not be provided again.

Moreover, these parameters can be calculated from Table 3 and Table 4 asthe following values and satisfy the following conditions:

2nd Embodiment f [mm] 2.73 |f3/f2| 0.24 Fno 1.80 |f5/f6| 0.84 HFOV[deg.] 48.1 (|P1| + |P2|)/(|P3| + |P4|) 0.16 (V2 + V4)V3 0.87 Y31/Y110.46 T45/T34 1.02 Y31/Y21 0.71 CT3/CT2 2.24 SD/TD 0.80 (CT1 + CT2 +CT4)/ 0.50 R2/ImgH −1.04 (CT3 + CT5) R7/f −0.91 R7/ImgH −0.79 |R2/R1|1.11 ImgH/f 1.16 (R3 − R4)/(R3 + R4) −0.09 f/TL 0.49 (R6 − R7)(R6 + R7)−0.22 TL [mm] 5.60 (R7 − R8)/(R7 + R8) −0.88 f/EPD 1.80 (R9 + R10)/(R9 −R10) 1.24 f/tan(HFOV) [mm] 2.45 (R11 − R12)/(R11 + R12) 0.61 tan(HFOV)1.11 |f3/f1| 0.04 |SAG11/Y11| 0.09

3rd Embodiment

FIG. 5 is a schematic view of an image capturing apparatus according tothe 3rd embodiment of the present disclosure. FIG. 6 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theimage capturing apparatus according to the 3rd embodiment. In FIG. 5,the image capturing apparatus includes an optical photographing system(its reference numeral is omitted) and an image sensor 390. The opticalphotographing system includes, in order from an object side to an imageside, a first lens element 310, a second lens element 320, an aperturestop 300, a third lens element 330, a fourth lens element 340, a fifthlens element 350, a sixth lens element 360, an IR-cut filter 370 and animage surface 380, wherein the image sensor 390 is disposed on the imagesurface 380 of the optical photographing system. The opticalphotographing system has a total of six lens elements (310-360).

The first lens element 310 with positive refractive power has anobject-side surface 311 being concave in a paraxial region thereof andan image-side surface 312 being convex in a paraxial region thereof. Thefirst lens element 310 is made of a plastic material, and has theobject-side surface 311 and the image-side surface 312 being bothaspheric. Furthermore, the object-side surface 311 of the first lenselement 310 includes at least one convex shape in an off-axial regionthereof.

The second lens element 320 with positive refractive power has anobject-side surface 321 being convex in a paraxial region thereof and animage-side surface 322 being concave in a paraxial region thereof. Thesecond lens element 320 is made of a plastic material, and has theobject-side surface 321 and the image-side surface 322 being bothaspheric.

The third lens element 330 with positive refractive power has anobject-side surface 331 being convex in a paraxial region thereof and animage-side surface 332 being convex in a paraxial region thereof. Thethird lens element 330 is made of a plastic material, and has theobject-side surface 331 and the image-side surface 332 being bothaspheric.

The fourth lens element 340 with negative refractive power has anobject-side surface 341 being concave in a paraxial region thereof andan image-side surface 342 being concave in a paraxial region thereof.The fourth lens element 340 is made of a plastic material, and has theobject-side surface 341 and the image-side surface 342 being bothaspheric.

The fifth lens element 350 with positive refractive power has anobject-side surface 351 being convex in a paraxial region thereof and animage-side surface 352 being convex in a paraxial region thereof. Thefifth lens element 350 is made of a plastic material, and has theobject-side surface 351 and the image-side surface 352 being bothaspheric.

The sixth lens element 360 with negative refractive power has anobject-side surface 361 being convex in a paraxial region thereof and animage-side surface 362 being concave in a paraxial region thereof. Thesixth lens element 360 is made of a plastic material, and has theobject-side surface 361 and the image-side surface 362 being bothaspheric. Furthermore, the image-side surface 362 of the sixth lenselement 360 includes at least one convex shape in an off-axial regionthereof.

The IR-cut filter 370 is made of a glass material and located betweenthe sixth lens element 360 and the image surface 380, and will notaffect the focal length of the optical photographing system.

The detailed optical data of the 3rd embodiment are shown in Table 5 andthe aspheric surface data are shown in Table 6 below.

TABLE 5 3rd Embodiment f = 2.71 mm, Fno = 1.80, HFOV = 48.4 deg. FocalSurface # Curvature Radius Thickness Material Index Abbe # Length 0Object Plano Infinity 1 Lens 1 −3.571 ASP 0.357 Plastic 1.584 28.2129.21 2 −3.536 ASP 0.030 3 Lens 2 1.742 ASP 0.338 Plastic 1.634 23.826.44 4 1.798 ASP 0.216 5 Ape. Stop Plano 0.093 6 Lens 3 17.645 ASP0.755 Plastic 1.544 56.0 3.05 7 −1.805 ASP 0.268 8 Lens 4 −2.628 ASP0.363 Plastic 1.660 20.4 −3.64 9 29.880 ASP 0.155 10 Lens 5 30.591 ASP1.326 Plastic 1.544 56.0 1.46 11 −0.805 ASP 0.030 12 Lens 6 2.386 ASP0.502 Plastic 1.544 56.0 −1.68 13 0.612 ASP 0.730 14 IR-cut filter Plano0.210 Glass 1.517 64.2 — 15 Plano 0.213 16 Image Plano — Referencewavelength is 587.6 nm (d-line).

TABLE 6 Aspheric Coefficients Surface # 1 2 3 4 6 7 k= −2.9793E+01−6.7989E+01 −8.2477E−01 −2.0355E+00 9.0000E+01 −2.1601E−01 A4= 1.1654E−01  9.4912E−02 −2.7290E−02 −1.2079E−01 −5.8680E−02  −1.6004E−01A6= −8.3571E−02 −7.7272E−02 −1.6979E−01  4.4229E−01 2.1755E−01−1.2191E−01 A8=  5.7100E−02  8.2441E−02  4.1379E−01 −1.4558E+00−1.2710E+00   5.7650E−01 A10= −2.3403E−02 −5.3583E−02 −5.3006E−01 4.0083E+00 3.1694E+00 −1.3667E+00 A12=  5.2354E−03  1.6955E−02 3.2904E−01 −6.2109E+00 −4.3063E+00   1.5789E+00 A14= −5.0977E−04−2.0899E−03 −6.7121E−02  4.2203E+00 2.2617E+00 −9.0174E−01 A16= 1.6589E−01 Surface # 8 9 10 11 12 13 k=  3.4586E+00 −9.0000E+01−8.7976E+01 −4.0731E+00 −9.1757E+00 −3.6725E+00 A4= −4.1038E−01−2.8957E−01 −3.4243E−02 −1.3994E−01 −1.2970E−01 −5.3850E−02 A6= 4.2581E−01  3.2277E−01  5.7107E−02  1.3096E−01  7.8130E−02  1.6658E−02A8= −7.6348E−01 −3.9586E−01 −1.0440E−01 −7.5723E−02 −5.6266E−02−4.2912E−03 A10=  1.1437E+00  3.3909E−01  8.5837E−02  2.3742E−02 2.6401E−02  8.0007E−04 A12= −7.2810E−01 −1.4775E−01 −3.3587E−02−2.9479E−03 −6.8175E−03 −9.7948E−05 A14=  1.9180E−01  3.0452E−02 6.4097E−03 −4.6856E−06  8.9492E−04  6.7245E−06 A16= −1.2502E−02−2.2467E−03 −4.8528E−04  1.6681E−05 −4.6673E−05 −1.9305E−07

In the 3rd embodiment, the equation of the aspheric surface profiles ofthe aforementioned lens elements is the same as the equation of the 1stembodiment. Also, the definitions of these parameters shown in thefollowing table are the same as those stated in the 1st embodiment withcorresponding values for the 3rd embodiment, so an explanation in thisregard will not be provided again.

Moreover, these parameters can be calculated from Table 5 and Table 6 asthe following values and satisfy the following conditions:

3rd Embodiment f [mm] 2.71 |f3/f2| 0.12 Fno 1.80 |f5/f6| 0.87 HFOV[deg.] 48.4 (|P1| + |P2|)/(|P3| + |P4|) 0.08 (V2 + V4)/V3 0.79 Y31/Y110.50 T45/T34 0.58 Y31/Y21 0.78 CT3/CT2 2.23 SD/TD 0.79 (CT1 + CT2 +CT4)/ 0.51 R2/ImgH −1.12 (CT3 + CT5) R7/f −0.97 R7/ImgH −0.83 |R2/R1|0.99 ImgH/f 1.17 (R3 − R4)/(R3 + R4) −0.02 f/TL 0.49 (R6 − R7)(R6 + R7)−0.19 TL [mm] 5.59 (R7 − R8)/(R7 + R8) −1.19 f/EPD 1.80 (R9 + R10)/(R9 −R10) 0.95 f/tan(HFOV) [mm] 2.41 (R11 − R12)/(R11 + R12) 0.59 tan(HFOV)1.12 |f3/f1| 0.02 |SAG11/Y11| 0.11

4th Embodiment

FIG. 7 is a schematic view of an image capturing apparatus according tothe 4th embodiment of the present disclosure. FIG. 8 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theimage capturing apparatus according to the 4th embodiment. In FIG. 7,the image capturing apparatus includes an optical photographing system(its reference numeral is omitted) and an image sensor 490. The opticalphotographing system includes, in order from an object side to an imageside, a first lens element 410, a second lens element 420, an aperturestop 400, a third lens element 430, a fourth lens element 440, a fifthlens element 450, a sixth lens element 460, an IR-cut filter 470 and animage surface 480, wherein the image sensor 490 is disposed on the imagesurface 480 of the optical photographing system. The opticalphotographing system has a total of six lens elements (410-460).

The first lens element 410 with positive refractive power has anobject-side surface 411 being concave in a paraxial region thereof andan image-side surface 412 being convex in a paraxial region thereof. Thefirst lens element 410 is made of a plastic material, and has theobject-side surface 411 and the image-side surface 412 being bothaspheric. Furthermore, the object-side surface 411 of the first lenselement 410 includes at least one convex shape in an off-axial regionthereof.

The second lens element 420 with positive refractive power has anobject-side surface 421 being convex in a paraxial region thereof and animage-side surface 422 being concave in a paraxial region thereof. Thesecond lens element 420 is made of a plastic material, and has theobject-side surface 421 and the image-side surface 422 being bothaspheric.

The third lens element 430 with positive refractive power has anobject-side surface 431 being convex in a paraxial region thereof and animage-side surface 432 being convex in a paraxial region thereof. Thethird lens element 430 is made of a plastic material, and has theobject-side surface 431 and the image-side surface 432 being bothaspheric.

The fourth lens element 440 with negative refractive power has anobject-side surface 441 being concave in a paraxial region thereof andan image-side surface 442 being concave in a paraxial region thereof.The fourth lens element 440 is made of a plastic material, and has theobject-side surface 441 and the image-side surface 442 being bothaspheric.

The fifth lens element 450 with positive refractive power has anobject-side surface 451 being convex in a paraxial region thereof and animage-side surface 452 being convex in a paraxial region thereof. Thefifth lens element 450 is made of a plastic material, and has theobject-side surface 451 and the image-side surface 452 being bothaspheric.

The sixth lens element 460 with negative refractive power has anobject-side surface 461 being concave in a paraxial region thereof andan image-side surface 462 being concave in a paraxial region thereof.The sixth lens element 460 is made of a plastic material, and has theobject-side surface 461 and the image-side surface 462 being bothaspheric. Furthermore, the image-side surface 462 of the sixth lenselement 460 includes at least one convex shape in an off-axial regionthereof.

The IR-cut filter 470 is made of a glass material and located betweenthe sixth lens element 460 and the image surface 480, and will notaffect the focal length of the optical photographing system.

The detailed optical data of the 4th embodiment are shown in Table 7 andthe aspheric surface data are shown in Table 8 below.

TABLE 7 4th Embodiment f = 2.78 mm, Fno = 1.80, HFOV = 47.7 deg. FocalSurface # Curvature Radius Thickness Material Index Abbe # Length 0Object Plano Infinity 1 Lens 1 −3.955 ASP 0.381 Plastic 1.584 28.2105.58 2 −3.848 ASP 0.030 3 Lens 2 1.575 ASP 0.335 Plastic 1.634 23.841.75 4 1.536 ASP 0.256 5 Ape. Stop Plano 0.074 6 Lens 3 8.108 ASP 0.802Plastic 1.544 56.0 2.92 7 −1.907 ASP 0.184 8 Lens 4 −2.616 ASP 0.377Plastic 1.634 23.8 −3.55 9 16.985 ASP 0.169 10 Lens 5 25.857 ASP 1.237Plastic 1.544 56.0 1.18 11 −0.647 ASP 0.034 12 Lens 6 −576.031 ASP 0.539Plastic 1.544 56.0 −1.19 13 0.647 ASP 0.700 14 IR-cut filter Plano 0.210Glass 1.517 64.2 — 15 Plano 0.275 16 Image Plano — Reference wavelengthis 587.6 nm (d-line).

TABLE 8 Aspheric Coefficients Surface # 1 2 3 4 6 7 k= −3.4700E+01−6.9796E+01 −1.0479E+00 −2.1112E+00 6.7230E+01 −2.2307E−02 A4= 1.1654E−01  9.4912E−02 −4.1238E−02 −1.1884E−01 −5.9095E−02  −1.7569E−01A6= −8.3571E−02 −7.7272E−02 −1.5962E−01  4.7745E−01 2.4920E−01−2.8477E−01 A8=  5.7100E−02  8.2441E−02  4.3579E−01 −1.7508E+00−1.3937E+00   1.3417E+00 A10= −2.3403E−02 −5.3583E−02 −5.8996E−01 4.8233E+00 3.3901E+00 −2.9665E+00 A12=  5.2354E−03  1.6955E−02 3.7879E−01 −7.1760E+00 −4.4306E+00   3.4707E+00 A14= −5.0977E−04−2.0899E−03 −8.1921E−02  4.5798E+00 2.2079E+00 −2.1183E+00 A16= 5.0876E−01 Surface # 8 9 10 11 12 13 k= 3.3810E+00  7.5819E+01−9.0000E+01 −3.7746E+00 −9.0000E+01 −5.3845E+00 A4= −3.8977E−01 −2.6378E−01 −8.7487E−02 −1.6322E−01  3.6620E−02 −1.1250E−02 A6=1.2779E−01  2.8497E−01  1.6889E−01  2.0326E−01 −5.2839E−02 −7.5004E−03A8= 2.1948E−01 −3.2883E−01 −2.2295E−01 −1.6445E−01  7.8507E−03 3.1407E−03 A10= −4.4977E−01   2.7157E−01  1.5554E−01  8.2126E−02 7.3382E−03 −5.5668E−04 A12= 5.9313E−01 −1.2629E−01 −5.6734E−02−2.3414E−02 −3.5461E−03  4.6957E−05 A14= −3.1953E−01   3.4686E−02 1.0532E−02  3.6206E−03  5.9556E−04 −1.5003E−06 A16= 5.4226E−02−4.7403E−03 −7.9444E−04 −2.4011E−04 −3.5341E−05 −6.4760E−09

In the 4th embodiment, the equation of the aspheric surface profiles ofthe aforementioned lens elements is the same as the equation of the 1stembodiment. Also, the definitions of these parameters shown in thefollowing table are the same as those stated in the 1st embodiment withcorresponding values for the 4th embodiment, so an explanation in thisregard will not be provided again.

Moreover, these parameters can be calculated from Table 7 and Table 8 asthe following values and satisfy the following conditions:

4th Embodiment f [mm] 2.78 |f3/f2| 0.07 Fno 1.80 |f5/f6| 0.99 HFOV[deg.] 47.7 (|P1| + |P2|)/(|P3| + |P4|) 0.05 (V2 + V4)/V3 0.85 Y31/Y110.50 T45/T34 0.92 Y31/Y21 0.78 CT3/CT2 2.39 SD/TD 0.77 (CT1 + CT2 +CT4)/ 0.54 R2/ImgH −1.22 (CT3 + CT5) R7/f −0.94 R7/ImgH −0.83 |R2/R1|0.97 ImgH/f 1.14 (R3 − R4)/(R3 + R4) 0.01 f/TL 0.50 (R6 − R7)(R6 + R7)−0.16 TL [mm] 5.60 (R7 − R8)/(R7 + R8) −1.36 f/EPD 1.80 (R9 + R10)/(R9 −R10) 0.95 f/tan(HFOV) [mm] 2.53 (R11 − R12)/(R11 + R12) 1.00 tan(HFOV)1.10 |f3/f1| 0.03 |SAG11/Y11| 0.12

5th Embodiment

FIG. 9 is a schematic view of an image capturing apparatus according tothe 5th embodiment of the present disclosure. FIG. 10 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theimage capturing apparatus according to the 5th embodiment. In FIG. 9,the image capturing apparatus includes an optical photographing system(its reference numeral is omitted) and an image sensor 590. The opticalphotographing system includes, in order from an object side to an imageside, a first lens element 510, an aperture stop 500, a second lenselement 520, a third lens element 530, a fourth lens element 540, afifth lens element 550, a sixth lens element 560, an IR-cut filter 570and an image surface 580, wherein the image sensor 590 is disposed onthe image surface 580 of the optical photographing system. The opticalphotographing system has a total of six lens elements (510-560).

The first lens element 510 with positive refractive power has anobject-side surface 511 being concave in a paraxial region thereof andan image-side surface 512 being convex in a paraxial region thereof. Thefirst lens element 510 is made of a plastic material, and has theobject-side surface 511 and the image-side surface 512 being bothaspheric.

The second lens element 520 with negative refractive power has anobject-side surface 521 being convex in a paraxial region thereof and animage-side surface 522 being concave in a paraxial region thereof. Thesecond lens element 520 is made of a plastic material, and has theobject-side surface 521 and the image-side surface 522 being bothaspheric.

The third lens element 530 with positive refractive power has anobject-side surface 531 being convex in a paraxial region thereof and animage-side surface 532 being convex in a paraxial region thereof. Thethird lens element 530 is made of a plastic material, and has theobject-side surface 531 and the image-side surface 532 being bothaspheric.

The fourth lens element 540 with negative refractive power has anobject-side surface 541 being concave in a paraxial region thereof andan image-side surface 542 being convex in a paraxial region thereof. Thefourth lens element 540 is made of a plastic material, and has theobject-side surface 541 and the image-side surface 542 being bothaspheric.

The fifth lens element 550 with positive refractive power has anobject-side surface 551 being convex in a paraxial region thereof and animage-side surface 552 being concave in a paraxial region thereof. Thefifth lens element 550 is made of a plastic material, and has theobject-side surface 551 and the image-side surface 552 being bothaspheric.

The sixth lens element 560 with negative refractive power has anobject-side surface 561 being convex in a paraxial region thereof and animage-side surface 562 being concave in a paraxial region thereof. Thesixth lens element 560 is made of a plastic material, and has theobject-side surface 561 and the image-side surface 562 being bothaspheric. Furthermore, the image-side surface 562 of the sixth lenselement 560 includes at least one convex shape in an off-axial regionthereof.

The IR-cut filter 570 is made of a glass material and located betweenthe sixth lens element 560 and the image surface 580, and will notaffect the focal length of the optical photographing system.

The detailed optical data of the 5th embodiment are shown in Table 9 andthe aspheric surface data are shown in Table 10 below.

TABLE 9 5th Embodiment f = 2.90 mm, Fno = 1.90, HFOV = 45.1 deg. FocalSurface # Curvature Radius Thickness Material Index Abbe # Length 0Object Plano Infinity 1 Lens 1 −46.898 ASP 0.350 Plastic 1.544 56.0 6.472 −3.282 ASP 0.011 3 Ape. Stop Plano 0.039 4 Lens 2 1.862 ASP 0.282Plastic 1.671 19.5 −13.64 5 1.453 ASP 0.356 6 Lens 3 6.777 ASP 0.950Plastic 1.544 56.0 2.86 7 −1.924 ASP 0.359 8 Lens 4 −1.046 ASP 0.320Plastic 1.660 20.4 −4.69 9 −1.772 ASP 0.050 10 Lens 5 2.816 ASP 0.726Plastic 1.544 56.0 5.36 11 72.667 ASP 0.244 12 Lens 6 0.980 ASP 0.340Plastic 1.544 56.0 −7.52 13 0.694 ASP 0.600 14 IR-cut filter Plano 0.190Glass 1.517 64.2 — 15 Plano 0.063 16 Image Plano — Reference wavelengthis 587.6 nm (d-line).

TABLE 10 Aspheric Coefficients Surface # 1 2 4 5 6 7 k= −9.0000E+01−4.7698E+01 −1.5733E+01  −4.6972E+00 −2.3485E+01 −3.3369E+00 A4= 2.4427E−02 −1.3687E−01 8.5531E−02 −8.8359E−02 −5.0060E−02 −1.4582E−01A6= −8.3444E−02  3.7052E−01 −1.4160E−01   1.5908E−01  1.4680E−01 1.4598E−01 A8=  1.4813E−01 −6.7775E−01 1.1232E−01 −2.3114E−01−5.3347E−01 −1.1278E−01 A10= −1.8325E−01  6.7259E−01 −8.6892E−02  1.6819E−01  9.7924E−01 −9.6650E−02 A12=  1.1016E−01 −3.5415E−015.9680E−03 −7.3006E−02 −1.0479E+00  2.1298E−01 A14= −2.7155E−02 7.5709E−02 3.3332E−03  1.6587E−02  5.7871E−01 −1.3309E−01 A16=−1.2369E−01  2.8634E−02 Surface # 8 9 10 11 12 13 k= −1.3355E+00−2.5350E+00 8.6527E−01 −9.0000E+01 −3.8848E+00 −2.7738E+00 A4=−2.0585E−01 −1.6625E−01 7.6264E−02  2.3216E−01 −1.3780E−01 −1.3285E−01A6=  1.0868E+00  5.2965E−01 −1.3789E−01  −1.6637E−01  2.5192E−02 5.9067E−02 A8= −1.9064E+00 −7.1272E−01 9.1960E−02  5.8381E−02 1.7859E−03 −1.9046E−02 A10=  1.8494E+00  5.4080E−01 −5.1399E−02 −1.1989E−02 −1.2521E−03  3.8506E−03 A12= −1.0179E+00 −2.2747E−011.9081E−02  1.4039E−03  1.8961E−04 −4.6059E−04 A14=  2.9881E−01 4.9926E−02 −3.8990E−03  −8.1358E−05 −1.2311E−05  3.0449E−05 A16=−3.6559E−02 −4.4908E−03 3.2410E−04  1.4264E−06  2.4473E−07 −8.7234E−07

In the 5th embodiment, the equation of the aspheric surface profiles ofthe aforementioned lens elements is the same as the equation of the 1stembodiment. Also, the definitions of these parameters shown in thefollowing table are the same as those stated in the 1st embodiment withcorresponding values for the 5th embodiment, so an explanation in thisregard will not be provided again.

Moreover, these parameters can be calculated from Table 9 and Table asthe following values and satisfy the following conditions:

5th Embodiment f [mm] 2.90 |f3/f2| 0.21 Fno 1.90 |f5/f6| 0.71 HFOV[deg.] 45.1 (|P1| + |P2|)/(|P3| + |P4|) 0.41 (V2 + V4)V3 0.71 Y31/Y111.05 T45/T34 0.14 Y31/Y21 1.28 CT3/CT2 3.37 SD/TD 0.91 (CT1 + CT2 +CT4)/ 0.57 R2/ImgH −1.09 (CT3 + CT5) R7/f −0.36 R7/ImgH −0.35 |R2/R1|0.07 ImgH/f 1.03 (R3 − R4)/(R3 + R4) 0.12 f/TL 0.59 (R6 − R7)(R6 + R7)0.30 TL [mm] 4.88 (R7 − R8)/(R7 + R8) −0.26 f/EPD 1.90 (R9 + R10)/(R9 +R10) −1.08 f/tan(HFOV) [mm] 2.89 (R11 − R12)/(R11 + R12) 0.17 tan(HFOV)1.00 |f3/f1| 0.44 |SAG11/Y11| 0.04

6th Embodiment

FIG. 11 is a schematic view of an image capturing apparatus according tothe 6th embodiment of the present disclosure. FIG. 12 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theimage capturing apparatus according to the 6th embodiment. In FIG. 11,the image capturing apparatus includes an optical photographing system(its reference numeral is omitted) and an image sensor 690. The opticalphotographing system includes, in order from an object side to an imageside, a first lens element 610, an aperture stop 600, a second lenselement 620, a third lens element 630, a fourth lens element 640, afifth lens element 650, a sixth lens element 660, an IR-cut filter 670and an image surface 680, wherein the image sensor 690 is disposed onthe image surface 680 of the optical photographing system. The opticalphotographing system has a total of six lens elements (610-660).

The first lens element 610 with positive refractive power has anobject-side surface 611 being concave in a paraxial region thereof andan image-side surface 612 being convex in a paraxial region thereof. Thefirst lens element 610 is made of a plastic material, and has theobject-side surface 611 and the image-side surface 612 being bothaspheric.

The second lens element 620 with negative refractive power has anobject-side surface 621 being convex in a paraxial region thereof and anImage-side surface 622 being concave in a paraxial region thereof. Thesecond lens element 620 is made of a plastic material, and has theobject-side surface 621 and the image-side surface 622 being bothaspheric.

The third lens element 630 with positive refractive power has anobject-side surface 631 being convex in a paraxial region thereof and animage-side surface 632 being convex in a paraxial region thereof. Thethird lens element 630 is made of a plastic material, and has theobject-side surface 631 and the image-side surface 632 being bothaspheric.

The fourth lens element 640 with negative refractive power has anobject-side surface 641 being concave in a paraxial region thereof andan image-side surface 642 being convex in a paraxial region thereof. Thefourth lens element 640 is made of a plastic material, and has theobject-side surface 641 and the image-side surface 642 being bothaspheric.

The fifth lens element 650 with positive refractive power has anobject-side surface 651 being convex in a paraxial region thereof and animage-side surface 652 being convex in a paraxial region thereof. Thefifth lens element 650 is made of a plastic material, and has theobject-side surface 651 and the image-side surface 652 being bothaspheric.

The sixth lens element 660 with negative refractive power has anobject-side surface 661 being convex in a paraxial region thereof and animage-side surface 662 being concave in a paraxial region thereof. Thesixth lens element 660 is made of a plastic material, and has theobject-side surface 661 and the image-side surface 662 being bothaspheric. Furthermore, the image-side surface 662 of the sixth lenselement 660 includes at least one convex shape in an off-axial regionthereof.

The IR-cut filter 670 is made of a glass material and located betweenthe sixth lens element 660 and the image surface 680, and will notaffect the focal length of the optical photographing system.

The detailed optical data of the 6th embodiment are shown in Table 11and the aspheric surface data are shown in Table 12 below.

TABLE 11 6th Embodiment f = 2.95 mm, Fno = 2.01, HFOV = 46.2 deg. FocalSurface # Curvature Radius Thickness Material Index Abbe # Length 0Object Plano Infinity 1 Lens 1 −48.095 ASP 0.349 Plastic 1.544 55.9 5.212 −2.681 ASP −0.010 3 Ape. Stop Plano 0.055 4 Lens 2 1.878 ASP 0.256Plastic 1.660 20.4 −8.96 5 1.348 ASP 0.349 6 Lens 3 9.247 ASP 0.823Plastic 1.544 55.9 3.17 7 −2.054 ASP 0.487 8 Lens 4 −0.987 ASP 0.289Plastic 1.660 20.4 −6.97 9 −1.403 ASP 0.035 10 Lens 5 3.905 ASP 0.782Plastic 1.544 55.9 4.22 11 −5.176 ASP 0.234 12 Lens 6 1.286 ASP 0.316Plastic 1.660 20.4 −3.81 13 0.768 ASP 0.600 14 IR-cut filter Plano 0.190Glass 1.517 64.2 — 15 Plano 0.077 16 Image Plano — Reference wavelengthis 587.6 nm (d-line).

TABLE 12 Aspheric Coefficients Surface # 1 2 4 5 6 7 k= 9.0000E+01−5.0250E+01 −1.7066E+01 −5.2507E+00 −7.0893E+01 −3.5216E+00 A4=2.5908E−02 −1.7061E−01  1.1259E−01 −1.1722E−01 −5.5670E−02 −1.1111E−01A6= −9.3138E−02   5.1418E−01 −2.9362E−01  2.7563E−01  1.3947E−01 4.9309E−02 A8= 1.7446E−01 −1.0425E+00  4.6667E−01 −5.5868E−01−5.9581E−01 −1.6368E−03 A10= −2.3441E−01   1.1612E+00 −6.5150E−01 6.1177E−01  1.2523E+00 −1.8071E−01 A12= 1.5256E−01 −6.8990E−01 5.0136E−01 −3.9111E−01 −1.5382E+00  2.6712E−01 A14= −4.1626E−02  1.6668E−01 −1.8791E−01  1.1293E−01  9.5605E−01 −1.6684E−01 A16=−2.2538E−01  3.8323E−02 Surface # 8 9 10 11 12 13 k= −1.3755E+00−2.6170E+00 1.9571E+00 4.4502E+00 −6.4935E+00 −3.7719E+00 A4=−1.6448E−01 −1.5982E−01 1.0501E−01 3.8399E−01 −3.5257E−02 −5.9674E−02A6=  9.8331E−01  4.8723E−01 −1.7465E−01  −3.4344E−01  −1.5959E−02 6.9785E−03 A8= −1.7267E+00 −6.0525E−01 1.0872E−01 1.7244E−01−2.1992E−03 −2.2443E−04 A10=  1.6757E+00  4.1663E−01 −5.0688E−02 −5.5839E−02   4.5341E−03  2.3248E−05 A12= −9.2338E−01 −1.5020E−011.5966E−02 1.1245E−02 −1.2460E−03 −4.2968E−09 A14=  2.7258E−01 2.5625E−02 −2.9844E−03  −1.2679E−03   1.3857E−04 −1.2619E−06 A16=−3.3935E−02 −1.4907E−03 2.4953E−04 6.0681E−05 −5.6616E−06  1.0046E−07

In the 6th embodiment, the equation of the aspheric surface profiles ofthe aforementioned lens elements is the same as the equation of the 1stembodiment. Also, the definitions of these parameters shown in thefollowing table are the same as those stated in the 1st embodiment withcorresponding values for the 6th embodiment, so an explanation in thisregard will not be provided again.

Moreover, these parameters can be calculated from Table 11 and Table 12as the following values and satisfy the following conditions:

6th Embodiment f [mm] 2.95 |f3/f2| 0.35 Fno 2.01 |f5/f6| 1.11 HFOV[deg.] 46.2 (|P1| + |P2|)/(|P3| + |P4|) 0.66 (V2 + V4)V3 0.73 Y31/Y111.02 T45/T34 0.07 Y31/Y21 1.26 CT3/CT2 3.21 SD/TD 0.91 (CT1 + CT2 +CT4)/ 0.56 R2/ImgH −0.84 (CT3 + CT5) R7/f −0.33 R7/ImgH −0.31 |R2/R1|0.06 ImgH/f 1.08 (R3 − R4)/(R3 + R4) 0.16 f/TL 0.61 (R6 − R7)(R6 + R7)0.35 TL [mm] 4.83 (R7 − R8)/(R7 + R8) −0.17 f/EPD 2.01 (R9 + R10)/(R9 −R10) −0.14 f/tan(HFOV) [mm] 2.83 (R11 − R12)/(R11 + R12) 0.25 tan(HFOV)1.04 |f3/f1| 0.61 |SAG11/Y11| 0.04

7th Embodiment

FIG. 13 is a schematic view of an image capturing apparatus according tothe 7th embodiment of the present disclosure. FIG. 14 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theimage capturing apparatus according to the 7th embodiment. In FIG. 13,the image capturing apparatus includes an optical photographing system(its reference numeral is omitted) and an image sensor 790. The opticalphotographing system includes, in order from an object side to an imageside, a first lens element 710, an aperture stop 700, a second lenselement 720, a stop 701, a third lens element 730, a fourth lens element740, a fifth lens element 750, a sixth lens element 760, an IR-cutfilter 770 and an image surface 780, wherein the image sensor 790 isdisposed on the image surface 780 of the optical photographing system.The optical photographing system has a total of six lens elements(710-760).

The first lens element 710 with positive refractive power has anobject-side surface 711 being convex in a paraxial region thereof and animage-side surface 712 being convex in a paraxial region thereof. Thefirst lens element 710 is made of a plastic material, and has theobject-side surface 711 and the image-side surface 712 being bothaspheric.

The second lens element 720 with negative refractive power has anobject-side surface 721 being convex in a paraxial region thereof and animage-side surface 722 being concave in a paraxial region thereof. Thesecond lens element 720 is made of a plastic material, and has theobject-side surface 721 and the image-side surface 722 being bothaspheric.

The third lens element 730 with positive refractive power has anobject-side surface 731 being convex in a paraxial region thereof and animage-side surface 732 being convex in a paraxial region thereof. Thethird lens element 730 is made of a plastic material, and has theobject-side surface 731 and the image-side surface 732 being bothaspheric.

The fourth lens element 740 with negative refractive power has anobject-side surface 741 being concave in a paraxial region thereof andan image-side surface 742 being convex in a paraxial region thereof. Thefourth lens element 740 is made of a plastic material, and has theobject-side surface 741 and the image-side surface 742 being bothaspheric.

The fifth lens element 750 with positive refractive power has anobject-side surface 751 being convex in a paraxial region thereof and animage-side surface 752 being convex in a paraxial region thereof. Thefifth lens element 750 is made of a plastic material, and has theobject-side surface 751 and the image-side surface 752 being bothaspheric.

The sixth lens element 760 with negative refractive power has anobject-side surface 761 being convex in a paraxial region thereof and animage-side surface 762 being concave in a paraxial region thereof. Thesixth lens element 760 is made of a plastic material, and has theobject-side surface 761 and the image-side surface 762 being bothaspheric. Furthermore, the image-side surface 762 of the sixth lenselement 760 includes at least one convex shape in an off-axial regionthereof.

The IR-cut filter 770 is made of a glass material and located betweenthe sixth lens element 760 and the image surface 780, and will notaffect the focal length of the optical photographing system.

The detailed optical data of the 7th embodiment are shown in Table 13and the aspheric surface data are shown in Table 14 below.

TABLE 13 7th Embodiment f = 2.94 mm, Fno = 2.01, HFOV = 44.9 deg. FocalSurface # Curvature Radius Thickness Material Index Abbe # Length 0Object Plano Infinity 1 Lens 1 15.743 ASP 0.323 Plastic 1.544 55.9 9.592 −7.739 ASP −0.009 3 Ape. Stop Plano 0.132 4 Lens 2 1.693 ASP 0.261Plastic 1.660 20.4 −31.79 5 1.470 ASP 0.181 6 Stop Plano 0.052 7 Lens 36.099 ASP 0.720 Plastic 1.544 55.9 2.97 8 −2.104 ASP 0.340 9 Lens 4−0.959 ASP 0.320 Plastic 1.660 20.4 −3.85 10 −1.744 ASP 0.050 11 Lens 52.620 ASP 0.527 Plastic 1.544 55.9 3.01 12 −4.057 ASP 0.111 13 Lens 61.159 ASP 0.370 Plastic 1.544 55.9 −4.58 14 0.702 ASP 0.600 15 IR-cutfilter Plano 0.210 Glass 1.517 64.2 — 16 Plano 0.438 17 Image Plano —Reference wavelength is 587.6 nm (d-line). Effective radius of Stop onSurface 6 is 0.930 mm.

TABLE 14 Aspheric Coefficients Surface # 1 2 4 5 7 8 k= 2.0760E+01−1.2693E+01 −2.5872E+01 −6.3648E+00 −9.0000E+01 −1.9967E+00 A4=−4.1436E−02  −2.3352E−01  1.5931E−01 −1.1774E−01 −3.1160E−02 −1.2317E−01A6= 6.5771E−02  6.3312E−01 −1.0007E+00  8.5513E−02  6.8716E−02 4.8205E−02 A8= −2.3032E−01  −1.1293E+00  3.0231E+00  4.8272E−03−7.0323E−01 −1.3099E−01 A10= 4.0253E−01  1.1088E+00 −5.7181E+00−3.6200E−01  1.9578E+00  1.6307E−03 A12= −3.9406E−01  −6.2914E−01 5.7296E+00  4.3471E−01 −3.0766E+00  2.8862E−01 A14= 1.4390E−01 1.7231E−01 −2.4774E+00 −1.6472E−01  2.4878E+00 −3.1955E−01 A16=−7.6749E−01  1.0858E−01 Surface # 9 10 11 12 13 14 k= −1.4583E+00−2.0303E+00 −5.6672E−01 −1.8519E+00 −3.0377E+00 −3.1376E+00 A4=−1.9987E−02 −1.5176E−01  1.0873E−01  6.0108E−01 −1.5506E−01 −1.3947E−01A6=  4.2196E−01  3.6434E−01 −1.3459E−01 −6.2028E−01 −2.2020E−02 3.5917E−02 A8= −1.1488E+00 −5.8394E−01  7.0373E−03  3.4230E−01 4.5007E−02 −1.6589E−03 A10=  1.9259E+00  7.0184E−01  3.5036E−02−1.1689E−01 −1.5852E−02 −1.3834E−03 A12= −1.6876E+00 −4.5169E−01−1.8925E−02  2.4275E−02  2.6670E−03  3.8293E−04 A14=  7.3688E−01 1.4294E−01  3.6745E−03 −2.7848E−03 −2.2793E−04 −4.2602E−05 A16=−1.2956E−01 −1.7811E−02 −2.0879E−04  1.3433E−04  8.0061E−06  1.7773E−06

In the 7th embodiment, the equation of the aspheric surface profiles ofthe aforementioned lens elements is the same as the equation of the 1stembodiment. Also, the definitions of these parameters shown in thefollowing table are the same as those stated in the 1st embodiment withcorresponding values for the 7th embodiment, so an explanation in thisregard will not be provided again.

Moreover, these parameters can be calculated from Table 13 and Table 14as the following values and satisfy the following conditions:

7th Embodiment f [mm] 2.94 |f3/f2| 0.09 Fno 2.01 |f5/f6| 0.66 HFOV[deg.] 44.9 (|P1| + |P2|)(|P3| + |P4|) 0.23 (V2 + V4)N3 0.73 Y31/Y111.02 T45/T34 0.15 Y31/Y21 1.25 CT3/CT2 2.76 SD/TD 0.91 (CT1 + CT2 +CT4)/ 0.72 R2/ImgH −2.64 (CT3 + CT5) R7/f −0.33 R7/ImgH −0.33 |R2/R1|0.49 ImgH/f 1.00 (R3 − R4)/(R3 + R4) 0.07 f/TL 0.64 (R6 − R7)(R6 + R7)0.37 TL [mm] 4.63 (R7 − R8)/(R7 + R8) −0.29 f/EPD 2.01 (R9 + R10)/(R9 −R10) −0.22 f/tan(HFOV) [mm] 2.95 (R11 − R12)/(R11 + R12) 0.25 tan(HFOV)1.00 |f3/f1| 0.31 |SAG11/Y11| 0.01

8th Embodiment

FIG. 15 is a schematic view of an image capturing apparatus according tothe 8th embodiment of the present disclosure. FIG. 16 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theimage capturing apparatus according to the 8th embodiment. In FIG. 15,the image capturing apparatus includes an optical photographing system(its reference numeral is omitted) and an image sensor 890. The opticalphotographing system includes, in order from an object side to an imageside, a first lens element 810, a second lens element 820, an aperturestop 800, a third lens element 830, a stop 801, a fourth lens element840, a fifth lens element 850, a sixth lens element 860, an IR-cutfilter 870 and an image surface 880, wherein the image sensor 890 isdisposed on the image surface 880 of the optical photographing system.The optical photographing system has a total of six lens elements(810-860).

The first lens element 810 with positive refractive power has anobject-side surface 811 being convex in a paraxial region thereof and animage-side surface 812 being convex in a paraxial region thereof. Thefirst lens element 810 is made of a plastic material, and has theobject-side surface 811 and the image-side surface 812 being bothaspheric.

The second lens element 820 with positive refractive power has anobject-side surface 821 being convex in a paraxial region thereof and animage-side surface 822 being concave in a paraxial region thereof. Thesecond lens element 820 is made of a plastic material, and has theobject-side surface 821 and the image-side surface 822 being bothaspheric.

The third lens element 830 with positive refractive power has anobject-side surface 831 being convex in a paraxial region thereof and animage-side surface 832 being convex in a paraxial region thereof. Thethird lens element 830 is made of a plastic material, and has theobject-side surface 831 and the image-side surface 832 being bothaspheric.

The fourth lens element 840 with negative refractive power has anobject-side surface 841 being concave in a paraxial region thereof andan image-side surface 842 being convex in a paraxial region thereof. Thefourth lens element 840 is made of a plastic material, and has theobject-side surface 841 and the image-side surface 842 being bothaspheric.

The fifth lens element 850 with positive refractive power has anobject-side surface 851 being concave in a paraxial region thereof andan image-side surface 852 being convex in a paraxial region thereof. Thefifth lens element 850 is made of a plastic material, and has theobject-side surface 851 and the image-side surface 852 being bothaspheric.

The sixth lens element 860 with negative refractive power has anobject-side surface 861 being convex in a paraxial region thereof and animage-side surface 862 being concave in a paraxial region thereof. Thesixth lens element 860 is made of a plastic material, and has theobject-side surface 861 and the image-side surface 862 being bothaspheric. Furthermore, the image-side surface 862 of the sixth lenselement 860 includes at least one convex shape in an off-axial regionthereof.

The IR-cut filter 870 is made of a glass material and located betweenthe sixth lens element 860 and the image surface 880, and will notaffect the focal length of the optical photographing system.

The detailed optical data of the 8th embodiment are shown in Table 15and the aspheric surface data are shown in Table 16 below.

TABLE 15 8th Embodiment f = 2.69 mm, Fno = 1.85, HFOV = 50.0 deg. FocalSurface # Curvature Radius Thickness Material Index Abbe # Length 0Object Plano Infinity 1 Lens 1 200.000 ASP 0.424 Plastic 1.545 56.041.00 2 −25.114 ASP 0.030 3 Lens 2 1.597 ASP 0.250 Plastic 1.639 23.520.57 4 1.707 ASP 0.126 5 Ape. Stop Plano 0.096 6 Lens 3 9.884 ASP 0.555Plastic 1.544 55.9 3.46 7 −2.275 ASP −0.304 8 Stop Plano 0.475 9 Lens 4−2.860 ASP 0.270 Plastic 1.660 20.4 −4.84 10 −28.374 ASP 0.305 11 Lens 5−2.553 ASP 0.675 Plastic 1.544 55.9 1.58 12 −0.702 ASP 0.030 13 Lens 61.945 ASP 0.484 Plastic 1.544 55.9 −2.00 14 0.636 ASP 0.874 15 IR-cutfilter Plano 0.210 Glass 1.517 64.2 — 16 Plano 0.293 17 Image Plano —Reference wavelength is 587.6 nm (d-line). Effective radius of Stop onSurface 8 is 0.860 mm.

TABLE 16 Aspheric Coefficients Surface # 1 2 3 4 6 7 k= −9.0000E+01 8.5019E+01 −2.8204E+00 −9.8468E+00  5.3933E+01  2.3662E+00 A4=1.0451E−01 1.1891E−01 −1.0826E−01 −1.6082E−02 −5.0105E−02 −2.2565E−01A6= −5.1979E−02  −7.7672E−02  −5.5452E−02  1.1325E−01  2.4060E−01−4.8752E−01 A8= 2.9485E−02 3.2675E−02  1.2091E−01 −1.8525E+00−2.4516E+00  4.0769E+00 A10= −7.8213E−03  −2.3387E−02  −8.6935E−01 6.6240E+00  1.0346E+01 −1.5658E+01 A12= 7.1094E−05 1.3928E−02 1.4550E+00 −1.1529E+01 −2.2846E+01  3.1554E+01 A14= 1.6660E−04−3.0511E−03  −6.7667E−01  9.1114E+00  2.3927E+01 −3.3024E+01 A16=−8.8570E+00  1.3936E+01 Surface # 9 10 11 12 13 14 k= 8.7996E+00 9.0000E+01 −5.1238E+00 −4.1339E+00 −7.6767E+00 −4.4100E+00 A4=−6.4638E−01  −4.1353E−01  3.9800E−02 −3.9836E−01 −1.1750E−01 −7.6718E−02A6= 6.2025E−01  3.8798E−01 −2.4143E−01  6.7376E−01  4.1003E−02 3.0062E−02 A8= −1.1422E+00  −1.7661E−01  4.0000E−01 −9.4006E−01−1.3285E−02 −9.8481E−03 A10= 2.8611E+00 −1.2310E−01 −2.9144E−01 8.5471E−01  3.9961E−03  2.1527E−03 A12= −4.3173E+00   2.0420E−01 7.8185E−02 −4.1395E−01 −7.3928E−04 −2.9146E−04 A14= 2.6876E+00−1.4181E−01  6.8680E−03  9.8627E−02  7.0060E−05  2.1698E−05 A16=1.4869E−01  6.2949E−02 −4.5421E−03 −9.1234E−03 −2.6280E−06 −6.6509E−07

In the 8th embodiment, the equation of the aspheric surface profiles ofthe aforementioned lens elements is the same as the equation of the 1stembodiment. Also, the definitions of these parameters shown in thefollowing table are the same as those stated in the 1st embodiment withcorresponding values for the 8th embodiment, so an explanation in thisregard will not be provided again.

Moreover, these parameters can be calculated from Table 15 and Table 16as the following values and satisfy the following conditions:

8th Embodiment f [mm] 2.69 |f3/f2| 0.17 Fno 1.85 |f5/f6| 0.79 HFOV[deg.] 50.0 (|P1| + |P2|)/(|P3| + |P4|) 0.15 (V2 + V4)V3 0.79 Y31/Y110.52 T45/T34 1.75 Y31/Y21 0.81 CT3/CT2 2.22 SD/TD 0.76 (CT1 + CT2 +CT4)/ 0.77 R2/ImgH −7.70 (CT3 + CT5) R7/f −1.06 R7/ImgH −0.88 |R2/R1|0.13 ImgH/f 1.21 (R3 − R4)/(R3 + R4) −0.03 f/TL 0.56 (R6 − R7)(R6 + R7)−0.11 TL [mm] 4.79 (R7 − R8)/(R7 + R8) −0.82 f/EPD 1.85 (R9 + R10)/(R9 −R10) 1.76 f/tan(HFOV) [mm] 2.26 (R11 − R12)/(R11 + R12) 0.51 tan(HFOV)1.19 |f3/f1| 0.08 |SAG11/Y11| 0.18

9th Embodiment

FIG. 17 is a schematic view of an image capturing apparatus according tothe 9th embodiment of the present disclosure. FIG. 18 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theimage capturing apparatus according to the 9th embodiment. In FIG. 17,the image capturing apparatus includes an optical photographing system(its reference numeral is omitted) and an image sensor 990. The opticalphotographing system includes, in order from an object side to an imageside, a first lens element 910, a second lens element 920, an aperturestop 900, a third lens element 930, a stop 901, a fourth lens element940, a fifth lens element 950, a sixth lens element 960, an IR-cutfilter 970 and an image surface 980, wherein the image sensor 990 isdisposed on the image surface 980 of the optical photographing system.The optical photographing system has a total of six lens elements(910-960).

The first lens element 910 with positive refractive power has anobject-side surface 911 being concave in a paraxial region thereof andan image-side surface 912 being convex in a paraxial region thereof. Thefirst lens element 910 is made of a plastic material, and has theobject-side surface 911 and the image-side surface 912 being bothaspheric. Furthermore, the object-side surface 911 of the first lenselement 910 includes a convex shape in an off-axial region thereof.

The second lens element 920 with negative refractive power has anobject-side surface 921 being convex in a paraxial region thereof and animage-side surface 922 being concave in a paraxial region thereof. Thesecond lens element 920 is made of a plastic material, and has theobject-side surface 921 and the image-side surface 922 being bothaspheric.

The third lens element 930 with positive refractive power has anobject-side surface 931 being convex in a paraxial region thereof and animage-side surface 932 being convex in a paraxial region thereof. Thethird lens element 930 is made of a plastic material, and has theobject-side surface 931 and the image-side surface 932 being bothaspheric.

The fourth lens element 940 with negative refractive power has anobject-side surface 941 being concave in a paraxial region thereof andan image-side surface 942 being convex in a paraxial region thereof. Thefourth lens element 940 is made of a plastic material, and has theobject-side surface 941 and the image-side surface 942 being bothaspheric.

The fifth lens element 950 with positive refractive power has anobject-side surface 951 being concave in a paraxial region thereof andan image-side surface 952 being convex in a paraxial region thereof. Thefifth lens element 950 is made of a plastic material, and has theobject-side surface 951 and the image-side surface 952 being bothaspheric.

The sixth lens element 960 with negative refractive power has anobject-side surface 961 being convex in a paraxial region thereof and animage-side surface 962 being concave in a paraxial region thereof. Thesixth lens element 960 is made of a plastic material, and has theobject-side surface 961 and the image-side surface 962 being bothaspheric. Furthermore, the image-side surface 962 of the sixth lenselement 960 includes at least one convex shape in an off-axial regionthereof.

The IR-cut filter 970 is made of a glass material and located betweenthe sixth lens element 960 and the image surface 980, and will notaffect the focal length of the optical photographing system.

The detailed optical data of the 9th embodiment are shown in Table 17and the aspheric surface data are shown in Table 18 below.

TABLE 17 9th Embodiment f = 2.81 mm, Fno = 1.86, HFOV = 49.9 deg. FocalSurface # Curvature Radius Thickness Material Index Abbe # Length 0Object Plano Infinity 1 Lens 1 −3.120 ASP 0.343 Plastic 1.545 56.0 20.632 −2.536 ASP 0.032 3 Lens 2 1.397 ASP 0.278 Plastic 1.584 28.2 −6895.664 1.294 ASP 0.211 5 Ape. Stop Plano 0.123 6 Lens 3 5.023 ASP 0.589Plastic 1.544 55.9 2.94 7 −2.246 ASP −0.168 8 Stop Plano 0.400 9 Lens 4−2.154 ASP 0.280 Plastic 1.660 20.4 −4.36 10 −9.017 ASP 0.250 11 Lens 5−3.846 ASP 0.665 Plastic 1.544 55.9 1.38 12 −0.666 ASP 0.030 13 Lens 63.216 ASP 0.424 Plastic 1.544 55.9 −1.54 14 0.633 ASP 0.600 15 IR-cutfilter Plano 0.210 Glass 1.517 64.2 — 16 Plano 0.590 17 Image Plano —Reference wavelength is 587.6 nm (d-line). Effective radius of Stop onSurface 8 is 0.900 mm.

TABLE 18 Aspheric Coefficients Surface # 1 2 3 4 6 7 k= −4.1160E+01−6.2026E+01 −1.8875E+00 −4.0443E+00 −1.1265E+01 7.0964E−01 A4= 1.1654E−01  9.4912E−02  2.4592E−02 −1.5702E−01 −1.3950E−02 −2.0008E−01 A6= −8.3571E−02 −7.7272E−02 −5.6331E−01  7.3495E−01 −7.2493E−02−1.5141E−02  A8=  5.7100E−02  8.2441E−02  1.2874E+00 −3.1054E+00 2.2277E−01 1.2715E−01 A10= −2.3403E−02 −5.3583E−02 −1.7094E+00 8.4197E+00 −6.5830E−01 −2.2360E−01  A12=  5.2354E−03  1.6955E−02 1.1806E+00 −1.2246E+01  4.0942E−01 4.0628E−02 A14= −5.0977E−04−2.0899E−03 −3.1363E−01  7.6030E+00  1.2310E−01 5.2848E−03 A16=5.9143E−02 Surface # 9 10 11 12 13 14 k=  1.5772E+00 −1.6091E+01 4.1308E+00 −3.9628E+00 −5.5328E+00 −5.2875E+00 A4= −5.3674E−01−4.4016E−01 −9.6970E−02 −2.3065E−01 −1.2686E−01 −8.3348E−02 A6= 6.9861E−01  7.0161E−01  2.0776E−01  3.3280E−01  2.5341E−02  3.1564E−02A8= −1.4189E+00 −1.1705E+00 −4.5234E−01 −4.0034E−01 −2.3152E−03−1.0588E−02 A10=  4.3630E+00  1.9647E+00  6.7031E−01  3.1324E−01 1.6897E−03  2.4239E−03 A12= −7.4500E+00 −2.1306E+00 −5.4995E−01−1.2098E−01 −6.3541E−04 −3.4500E−04 A14=  6.4482E+00  1.2185E+00 2.2372E−01  1.9709E−02  9.0597E−05  2.6907E−05 A16= −2.1970E+00−2.7465E−01 −3.4843E−02 −7.9634E−04 −4.5497E−06 −8.5730E−07

In the 9th embodiment, the equation of the aspheric surface profiles ofthe aforementioned lens elements is the same as the equation of the 1stembodiment. Also, the definitions of these parameters shown in thefollowing table are the same as those stated in the 1st embodiment withcorresponding values for the 9th embodiment, so an explanation in thisregard will not be provided again.

Moreover, these parameters can be calculated from Table 17 and Table 18as the following values and satisfy the following conditions:

9th Embodiment f [mm] 2.81 |f3/f2| 0.0004 Fno 1.86 |f5/f6| 0.90 HFOV[deg.] 49.9 (|P1| + |P2|)/(|P3| + 0.09 |P4|) (V2 + V4)V3 0.87 Y31/Y110.49 T45/T34 1.08 Y31/Y21 0.79 CT3/CT2 2.12 SD/TD 0.75 (CT1 + CT2 +CT4)/ 0.72 R2/ImgH −0.78 (CT3 + CT5) R7/f −0.77 R7/ImgH −0.66 |R2/R1|0.81 ImgH/f 1.16 (R3 − R4)/(R3 + R4) 0.04 f/TL 0.58 (R6 − R7)(R6 + R7)0.02 TL [mm] 4.86 (R7 − R8)/(R7 + R8) −0.61 f/EPD 1.86 (R9 + R10)/(R9 −R10) 1.42 f/tan(HFOV) [mm] 2.36 (R11 − R12)/(R11 + R12) 0.67 tan(HFOV)1.19 |f3/f1| 0.14 |SAG11/Y11| 0.10

10th Embodiment

FIG. 19 is a schematic view of an image capturing apparatus according tothe 10th embodiment of the present disclosure. FIG. 20 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theimage capturing apparatus according to the 10th embodiment. In FIG. 19,the image capturing apparatus includes an optical photographing system(its reference numeral is omitted) and an image sensor 1090. The opticalphotographing system includes, in order from an object side to an imageside, a first lens element 1010, a second lens element 1020, an aperturestop 1000, a third lens element 1030, a stop 1001, a fourth lens element1040, a fifth lens element 1050, a sixth lens element 1060, an IR-cutfilter 1070 and an image surface 1080, wherein the image sensor 1090 isdisposed on the image surface 1080 of the optical photographing system.The optical photographing system has a total of six lens elements(1010-1060).

The first lens element 1010 with positive refractive power has anobject-side surface 1011 being concave in a paraxial region thereof andan image-side surface 1012 being convex in a paraxial region thereof.The first lens element 1010 is made of a plastic material, and has theobject-side surface 1011 and the image-side surface 1012 being bothaspheric. Furthermore, the object-side surface 1011 of the first lenselement 1010 includes a convex shape in an off-axial region thereof.

The second lens element 1020 with negative refractive power has anobject-side surface 1021 being convex in a paraxial region thereof andan image-side surface 1022 being concave in a paraxial region thereof.The second lens element 1020 is made of a plastic material, and has theobject-side surface 1021 and the image-side surface 1022 being bothaspheric.

The third lens element 1030 with positive refractive power has anobject-side surface 1031 being convex in a paraxial region thereof andan image-side surface 1032 being convex in a paraxial region thereof.The third lens element 1030 is made of a plastic material, and has theobject-side surface 1031 and the image-side surface 1032 being bothaspheric.

The fourth lens element 1040 with negative refractive power has anobject-side surface 1041 being concave in a paraxial region thereof andan image-side surface 1042 being convex in a paraxial region thereof.The fourth lens element 1040 is made of a plastic material, and has theobject-side surface 1041 and the image-side surface 1042 being bothaspheric.

The fifth lens element 1050 with positive refractive power has anobject-side surface 1051 being concave in a paraxial region thereof andan image-side surface 1052 being convex in a paraxial region thereof.The fifth lens element 1050 is made of a plastic material, and has theobject-side surface 1051 and the image-side surface 1052 being bothaspheric.

The sixth lens element 1060 with negative refractive power has anobject-side surface 1061 being convex in a paraxial region thereof andan image-side surface 1062 being concave in a paraxial region thereof.The sixth lens element 1060 is made of a plastic material, and has theobject-side surface 1061 and the image-side surface 1062 being bothaspheric. Furthermore, the image-side surface 1062 of the sixth lenselement 1060 includes at least one convex shape in an off-axial regionthereof.

The IR-cut filter 1070 is made of a glass material and located betweenthe sixth lens element 1060 and the image surface 1080, and will notaffect the focal length of the optical photographing system.

The detailed optical data of the 10th embodiment are shown in Table 19and the aspheric surface data are shown in Table 20 below.

TABLE 19 10th Embodiment f = 2.72 mm, Fno = 1.86, HFOV = 49.9 deg. FocalSurface # Curvature Radius Thickness Material Index Abbe # Length 0Object Plano Infinity 1 Lens 1 −3.283 ASP 0.368 Plastic 1.545 56.1 12.102 −2.279 ASP 0.039 3 Lens 2 1.453 ASP 0.281 Plastic 1.639 23.3 −19.35 41.202 ASP 0.233 5 Ape. Stop Plano 0.110 6 Lens 3 4.893 ASP 0.605 Plastic1.544 56.0 2.78 7 −2.096 ASP −0.166 8 Stop Plano 0.390 9 Lens 4 −2.147ASP 0.280 Plastic 1.660 20.4 −4.23 10 −9.819 ASP 0.276 11 Lens 5 −3.297ASP 0.650 Plastic 1.544 56.0 1.19 12 −0.577 ASP 0.030 13 Lens 6 2.635ASP 0.340 Plastic 1.544 56.0 −1.34 14 0.546 ASP 0.600 15 IR-cut filterPlano 0.210 Glass 1.517 64.2 — 16 Plano 0.616 17 Image Plano — Referencewavelength is 587.6 nm (d-line). Effective radius of Stop on Surface 8is 0.900 mm.

TABLE 20 Aspheric Coefficients Surface # 1 2 3 4 6 7 k= −4.0619E+01−5.7763E+01 −1.0557E+00 −3.2948E+00  8.3268E+00 −1.7273E−03 A4= 1.2686E−01  1.6574E−01  1.4110E−01 −1.8771E−01 −1.2043E−02 −2.1747E−01A6= −7.5206E−02 −1.7773E−01 −8.6294E−01  1.3353E+00 −1.2088E−01 5.2296E−02 A8=  4.1736E−02  1.8210E−01  1.8594E+00 −5.8925E+00 4.5203E−01  2.2051E−01 A10= −1.2744E−02 −1.1075E−01 −2.4551E+00 1.6006E+01 −1.0980E+00 −1.3956E+00 A12=  1.8403E−03  3.3361E−02 1.6801E+00 −2.3521E+01  9.4111E−01  3.1702E+00 A14= −8.7912E−05−3.8678E−03 −4.4560E−01  1.4618E+01 −6.0655E−02 −3.6860E+00 A16= 1.7718E+00 Surface # 9 10 11 12 13 14 k=  1.9284E+00  5.9737E+01 3.4169E+00 −4.4313E+00 −4.1982E+00 −5.2896E+00 A4= −5.4828E−01−4.4759E−01 −1.3594E−01 −4.0465E−01 −1.5162E−01 −8.5666E−02 A6= 7.1024E−01  7.0064E−01  1.4882E−01  6.7910E−01  7.2767E−02  3.4476E−02A8= −1.2502E+00 −1.0311E+00 −2.6927E−01 −9.4252E−01 −3.1960E−02−1.1979E−02 A10=  3.3730E+00  1.5512E+00  5.8391E−01  8.6832E−01 1.0625E−02  2.7253E−03 A12= −5.9399E+00 −1.6916E+00 −6.2753E−01−4.3065E−01 −2.0960E−03 −3.7192E−04 A14=  5.5659E+00  1.0144E+00 3.1384E−01  1.0642E−01  2.1703E−04  2.7234E−05 A16= −2.0181E+00−2.3810E−01 −5.9291E−02 −1.0441E−02 −9.1577E−06 −8.0664E−07

In the 10th embodiment, the equation of the aspheric surface profiles ofthe aforementioned lens elements is the same as the equation of the 1stembodiment. Also, the definitions of these parameters shown in thefollowing table are the same as those stated in the 1st embodiment withcorresponding values for the 10th embodiment, so an explanation in thisregard will not be provided again.

Moreover, these parameters can be calculated from Table 19 and Table asthe following values and satisfy the following conditions:

10th Embodiment f [mm] 2.72 |f3/f2| 0.14 Fno 1.86 |f5/f6| 0.88 HFOV[deg.] 49.9 (|P1| + |P2|)/(|P3| + |P4|) 0.23 (V2 + V4)V3 0.78 Y31/Y110.48 T45/T34 1.23 Y31/Y21 0.79 CT3/CT2 2.15 SD/TD 0.73 (CT1 + CT2 +CT4)/ 0.74 R2/ImgH −0.70 (CT3 + CT5) R7/f −0.79 R7/ImgH −0.66 |R2/R1|0.69 ImgH/f 1.20 (R3 − R4)/(R3 + R4) 0.09 f/TL 0.56 (R6 − R7)(R6 + R7)−0.01 TL [mm] 4.86 (R7 − R8)/(R7 + R8) −0.64 f/EPD 1.86 (R9 + R10)/(R9 −R10) 1.42 f/tan(HFOV) [mm] 2.29 (R11 − R12)/(R11 + R12) 0.66 tan(HFOV)1.19 |f3/f1| 0.23 |SAG11/Y11| 0.14

11th Embodiment

FIG. 22 is a schematic view of an electronic device 10 according to the11th embodiment of the present disclosure. The electronic device 10 ofthe 11th embodiment is a smartphone, wherein the electronic device 10includes an image capturing device 11. The image capturing device 11includes an optical photographing system (its reference numeral isomitted) according to the present disclosure and an image sensor (itsreference numeral is omitted), wherein the image sensor is disposed onan image surface of the optical photographing system.

12th Embodiment

FIG. 23 is a schematic view of an electronic device 20 according to the12th embodiment of the present disclosure. The electronic device 20 ofthe 12th embodiment is a tablet personal computer, wherein theelectronic device includes an image capturing device 21. The imagecapturing device 21 includes an optical photographing system (itsreference numeral is omitted) according to the present disclosure and animage sensor (its reference numeral is omitted), wherein the imagesensor is disposed on an image surface of the optical photographingsystem.

13th Embodiment

FIG. 24 is a schematic view of an electronic device 30 according to the13th embodiment of the present disclosure. The electronic device 30 ofthe 13th embodiment is a wearable device, wherein the electronic device30 includes an image capturing device 31. The image capturing device 31includes an optical photographing system (its reference numeral isomitted) according to the present disclosure and an image sensor (itsreference numeral is omitted), wherein the image sensor is disposed onan image surface of the optical photographing system.

The foregoing description, for purpose of explanation, has beendescribed with reference to specific embodiments. It is to be noted thatTables 1-20 show different data of the different embodiments; however,the data of the different embodiments are obtained from experiments. Theembodiments were chosen and described in order to best explain theprinciples of the disclosure and its practical applications, to therebyenable others skilled in the art to best utilize the disclosure andvarious embodiments with various modifications as are suited to theparticular use contemplated. The embodiments depicted above and theappended drawings are exemplary and are not intended to be exhaustive orto limit the scope of the present disclosure to the precise formsdisclosed. Many modifications and variations are possible in view of theabove teachings.

What is claimed is:
 1. An optical photographing system comprising, inorder from an object side to an image side: a first lens element withpositive refractive power having an image-side surface being convex in aparaxial region thereof; a second lens element having an image-sidesurface being concave in a paraxial region thereof; a third lens elementhaving positive refractive power; a fourth lens element having anobject-side surface being concave in a paraxial region thereof; a fifthlens element with positive refractive power having an object-sidesurface and an image-side surface being both aspheric; and a sixth lenselement having an image-side surface being concave in a paraxial regionthereof, wherein an object-side surface and the image-side surface ofthe sixth lens element are both aspheric, and the image-side surface ofthe sixth lens element comprises at least one convex shape in anoff-axial region thereof; wherein the optical photographing system has atotal of six lens elements, a focal length of the optical photographingsystem is f, a focal length of the first lens element is f1, a focallength of the second lens element is f2, a focal length of the thirdlens element is f3, a curvature radius of an object-side surface of thefirst lens element is R1, a curvature radius of the image-side surfaceof the first lens element is R2, a curvature radius of the object-sidesurface of the fourth lens element is R7, and the following conditionsare satisfied:|f3/f2|<0.80;|R2/R1|<1.0;|f3/f1|<0.80; and−1.30<R7/f<0.
 2. The optical photographing system of claim 1, whereinthe third lens element has an image-side surface being convex in aparaxial region thereof, and the image-side surface of the fifth lenselement is convex in a paraxial region thereof.
 3. The opticalphotographing system of claim 1, wherein a maximum image height of theoptical photographing system is ImgH, the focal length of the opticalphotographing system is f, and the following condition is satisfied:0.90<ImgH/f<1.50.
 4. The optical photographing system of claim 1,wherein the focal length of the optical photographing system is f, anaxial distance between the object-side surface of the first lens elementand an image surface is TL, and the following condition is satisfied:0.45<f/TL<0.70.
 5. The optical photographing system of claim 1, whereina curvature radius of an image-side surface of the third lens element isR6, the curvature radius of the object-side surface of the fourth lenselement is R7, and the following condition is satisfied:−0.37<(R6−R7)/(R6+R7)<0.45.
 6. The optical photographing system of claim1, wherein a focal length of the fifth lens element is f5, a focallength of the sixth lens element is f6, and the following condition issatisfied:0.70<|f5/f6|<1.0.
 7. The optical photographing system of claim 1,wherein the focal length of the optical photographing system is f, ahalf of a maximum field of view of the optical photographing system isHFOV, and the following condition is satisfied:1.50 mm<f/tan(HFOV)<3.0 mm.
 8. The optical photographing system of claim1, wherein a maximum effective radius of the object-side surface of thefirst lens element is Y11, a maximum effective radius of an object-sidesurface of the third lens element is Y31, and the following condition issatisfied:Y31/Y11<1.10.
 9. An optical photographing system comprising, in orderfrom an object side to an image side: a first lens element having anobject-side surface being concave in a paraxial region thereof; a secondlens element having an image-side surface being concave in a paraxialregion thereof; a third lens element having positive refractive power; afourth lens element having an object-side surface being concave in aparaxial region thereof; a fifth lens element with positive refractivepower having an object-side surface and an image-side surface being bothaspheric; and a sixth lens element having an image-side surface beingconcave in a paraxial region thereof, wherein an object-side surface andthe image-side surface of the sixth lens element are both aspheric, andthe image-side surface of the sixth lens element comprises at least oneconvex shape in an off-axial region thereof; wherein the opticalphotographing system has a total of six lens elements, a focal length ofthe second lens element is f2, a focal length of the third lens elementis f3, a curvature radius of the object-side surface of the fourth lenselement is R7, a curvature radius of an image-side surface of the fourthlens element is R8, and the following conditions are satisfied:|f3/f2|<1.0; and−1.45<(R7−R8)/(R7+R8)<0.
 10. The optical photographing system of claim9, wherein the object-side surface of the first lens element comprises aconvex shape in an off-axial region thereof.
 11. The opticalphotographing system of claim 9, wherein the fourth lens element hasnegative refractive power, and the sixth lens element has negativerefractive power.
 12. The optical photographing system of claim 9,wherein an axial distance between the third lens element and the fourthlens element is T34, an axial distance between the fourth lens elementand the fifth lens element is T45, and the following condition issatisfied:0<T45/T34<2.0.
 13. The optical photographing system of claim 9, whereina central thickness of the first lens element is CT1, a centralthickness of the second lens element is CT2, a central thickness of thethird lens element is CT3, a central thickness of the fourth lenselement is CT4, a central thickness of the fifth lens element is CT5,and the following condition is satisfied:(CT1+CT2+CT4)/(CT3+CT5)<0.80.
 14. The optical photographing system ofclaim 9, further comprising: an aperture stop, wherein an axial distancebetween the object-side surface of the first lens element and an imagesurface is TL, an axial distance between the aperture stop and theimage-side surface of the sixth lens element is SD, an axial distancebetween the object-side surface of the first lens element and theimage-side surface of the sixth lens element is TD, and the followingconditions are satisfied:3.0 mm<TL<7.0 mm; and0.70<SD/TD<0.93.
 15. The optical photographing system of claim 9,wherein a curvature radius of an object-side surface of the second lenselement is R3, a curvature radius of the image-side surface of thesecond lens element is R4, and the following condition is satisfied:−0.20<(R3−R4)/(R3+R4)<0.20.
 16. The optical photographing system ofclaim 9, wherein a displacement in parallel with an optical axis from anaxial vertex on the object-side surface of the first lens element to amaximum effective radius position on the object-side surface of thefirst lens element is SAG11, a maximum effective radius of theobject-side surface of the first lens element is Y11, and the followingcondition is satisfied:|SAG11/Y11|<0.20.
 17. The optical photographing system of claim 9,wherein the curvature radius of the object-side surface of the fourthlens element is R7, a maximum image height of the optical photographingsystem is ImgH, and the following condition is satisfied:−1.0<R7/ImgH<0.